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Find the uncoded 1 × 3 row matrices for the message "TWO IF BY LAND"; then encode the message using the encoding matrix Find the uncoded 1 × 3 row matrices for the message TWO IF BY LAND ; then encode the message using the encoding matrix Show all your work. Show all your work.

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Write the matrix in reduced row-echelon form. Write the matrix in reduced row-echelon form. A) B) C) D) E)


A) Write the matrix in reduced row-echelon form. A) B) C) D) E)
B) Write the matrix in reduced row-echelon form. A) B) C) D) E)
C) Write the matrix in reduced row-echelon form. A) B) C) D) E)
D) Write the matrix in reduced row-echelon form. A) B) C) D) E)
E) Write the matrix in reduced row-echelon form. A) B) C) D) E)

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Use the matrix capabilities of a graphing utility to find the determinant of the matrix Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)


A) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
B) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
C) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
D) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
E) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)

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Solve the system of equations below by the Gaussian elimination method: Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution


A) Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution
B) Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution
C) Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution
D) Solve the system of equations below by the Gaussian elimination method: A) B) C) D) E) no solution
E) no solution

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Find A2.(Note: A2 = AA.) Find A<sup>2</sup>.(Note: A<sup>2</sup> = AA.) A) B) C) D) E) not possible


A) Find A<sup>2</sup>.(Note: A<sup>2</sup> = AA.) A) B) C) D) E) not possible
B) Find A<sup>2</sup>.(Note: A<sup>2</sup> = AA.) A) B) C) D) E) not possible
C) Find A<sup>2</sup>.(Note: A<sup>2</sup> = AA.) A) B) C) D) E) not possible
D) Find A<sup>2</sup>.(Note: A<sup>2</sup> = AA.) A) B) C) D) E) not possible
E) not possible

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Find Find A) B) C) D) E) Find A) B) C) D) E)


A) Find A) B) C) D) E)
B) Find A) B) C) D) E)
C) Find A) B) C) D) E)
D) Find A) B) C) D) E)
E) Find A) B) C) D) E)

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C

Find x and y. Find x and y. A) x = 2, y = 4 B) x = 2, y = 3 C) x = 3, y = 3 D) x = 4, y = 3 E) no solution


A) x = 2, y = 4
B) x = 2, y = 3
C) x = 3, y = 3
D) x = 4, y = 3
E) no solution

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Determine a positive value for y such that a triangle with vertices Determine a positive value for y such that a triangle with vertices , and has an area of square units. A) 8 B) 6 C) 9 D) 11 E) 1 , and Determine a positive value for y such that a triangle with vertices , and has an area of square units. A) 8 B) 6 C) 9 D) 11 E) 1 has an area of Determine a positive value for y such that a triangle with vertices , and has an area of square units. A) 8 B) 6 C) 9 D) 11 E) 1 square units.


A) 8
B) 6
C) 9
D) 11
E) 1

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The area of a triangle with vertices The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 and The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 can be given as the absolute value of the determinant The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 Use this formula to find the area of each triangle whose coordinates are The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0 and The area of a triangle with vertices and can be given as the absolute value of the determinant Use this formula to find the area of each triangle whose coordinates are and A) 4.5 B) 1.0 C) 19.0 D) 5.0 E) 17.0


A) 4.5
B) 1.0
C) 19.0
D) 5.0
E) 17.0

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Write the system of linear equations represented by the augmented matrix.Then use back-substitution to solve.(Use variables x, y, and z.) Write the system of linear equations represented by the augmented matrix.Then use back-substitution to solve.(Use variables x, y, and z.) A) x = -8, y = 1, z = -1 B) x = -2, y = -4, z = -5 C) x = -4, y = 2, z = 5 D) x = -4, y = -2, z = -5 E) x = 2, y = -5, z = 4


A) x = -8, y = 1, z = -1
B) x = -2, y = -4, z = -5
C) x = -4, y = 2, z = 5
D) x = -4, y = -2, z = -5
E) x = 2, y = -5, z = 4

Correct Answer

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D

Use the matrix capabilities of a graphing utility to find the determinant of the matrix Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)


A) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
B) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
C) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
D) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)
E) Use the matrix capabilities of a graphing utility to find the determinant of the matrix A) B) C) D) E)

Correct Answer

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Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)


A) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)
B) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)
C) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)
D) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)
E) Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) A) B) C) D) E)

Correct Answer

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Find all (a) minors and (b) cofactors of the matrix Find all (a) minors and (b) cofactors of the matrix Show your work. Show your work.

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(a) 11ea89fe_4bd0_92de_9fff_0501c87d593e_TB2036_00 (b) 11ea89fe_4bd0_b9ef_9fff_971bf7d70ea9_TB2036_00

Find the inverse of the given matrix. Find the inverse of the given matrix. A) B) C) D) E) The matrix does not have an inverse.


A) Find the inverse of the given matrix. A) B) C) D) E) The matrix does not have an inverse.
B) Find the inverse of the given matrix. A) B) C) D) E) The matrix does not have an inverse.
C) Find the inverse of the given matrix. A) B) C) D) E) The matrix does not have an inverse.
D) Find the inverse of the given matrix. A) B) C) D) E) The matrix does not have an inverse.
E) The matrix does not have an inverse.

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Find the determinant of Find the determinant of A) B) C) D) E)


A) Find the determinant of A) B) C) D) E)
B) Find the determinant of A) B) C) D) E)
C) Find the determinant of A) B) C) D) E)
D) Find the determinant of A) B) C) D) E)
E) Find the determinant of A) B) C) D) E)

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Given matrix Given matrix Find the inverse matrix. A) B) C) D) E) Find Given matrix Find the inverse matrix. A) B) C) D) E) the inverse matrix.


A) Given matrix Find the inverse matrix. A) B) C) D) E)
B) Given matrix Find the inverse matrix. A) B) C) D) E)
C) Given matrix Find the inverse matrix. A) B) C) D) E)
D) Given matrix Find the inverse matrix. A) B) C) D) E)
E) Given matrix Find the inverse matrix. A) B) C) D) E)

Correct Answer

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Find which of the following matrices is an inverse to the matrix A below if any. Find which of the following matrices is an inverse to the matrix A below if any. Matrix I : Matrix II : Matrix III : A) Each of the matrices I and III is an inverse of A. B) Each of the matrices I and II is an inverse of A. C) Each of the matrices II and III is an inverse of A. D) Matrix II is an inverse of A. E) None of the matrices is an inverse of A. Matrix I : Find which of the following matrices is an inverse to the matrix A below if any. Matrix I : Matrix II : Matrix III : A) Each of the matrices I and III is an inverse of A. B) Each of the matrices I and II is an inverse of A. C) Each of the matrices II and III is an inverse of A. D) Matrix II is an inverse of A. E) None of the matrices is an inverse of A. Matrix II : Find which of the following matrices is an inverse to the matrix A below if any. Matrix I : Matrix II : Matrix III : A) Each of the matrices I and III is an inverse of A. B) Each of the matrices I and II is an inverse of A. C) Each of the matrices II and III is an inverse of A. D) Matrix II is an inverse of A. E) None of the matrices is an inverse of A. Matrix III : Find which of the following matrices is an inverse to the matrix A below if any. Matrix I : Matrix II : Matrix III : A) Each of the matrices I and III is an inverse of A. B) Each of the matrices I and II is an inverse of A. C) Each of the matrices II and III is an inverse of A. D) Matrix II is an inverse of A. E) None of the matrices is an inverse of A.


A) Each of the matrices I and III is an inverse of A.
B) Each of the matrices I and II is an inverse of A.
C) Each of the matrices II and III is an inverse of A.
D) Matrix II is an inverse of A.
E) None of the matrices is an inverse of A.

Correct Answer

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Given Given and , find A) B) C) D) E) and Given and , find A) B) C) D) E) , find Given and , find A) B) C) D) E)


A) Given and , find A) B) C) D) E)
B) Given and , find A) B) C) D) E)
C) Given and , find A) B) C) D) E)
D) Given and , find A) B) C) D) E)
E) Given and , find A) B) C) D) E)

Correct Answer

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Find the uncoded 1 × 3 row matrices for the message "MERRY CHRISTMAS"; then encode the message using the encoding matrix Find the uncoded 1 × 3 row matrices for the message MERRY CHRISTMAS ; then encode the message using the encoding matrix Show all your work. Show all your work.

Correct Answer

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An augmented matrix that represents a system of linear equations (in variables x, y, and z) has been reduced using Gauss-Jordan elimination.Write the solution represented by the augmented matrix. An augmented matrix that represents a system of linear equations (in variables x, y, and z) has been reduced using Gauss-Jordan elimination.Write the solution represented by the augmented matrix. A) x = 8, y = 1, z = 5 B) x = -8, y = -1, z = -5 C) x = 0, y = 0, z = 0 D) x = 8x, y = 5y, z = z E) x = 8, y = 0, z = 0


A) x = 8, y = 1, z = 5
B) x = -8, y = -1, z = -5
C) x = 0, y = 0, z = 0
D) x = 8x, y = 5y, z = z
E) x = 8, y = 0, z = 0

Correct Answer

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