Matrix Multiplication Exercise
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Questions and Answers

What is the determinant of the matrix M?

-1

Find the inverse of the matrix M.

Adj(M) = [ 5, -1, -2; -2, 0, 1 ]

Write the matrix equation for the given system of linear equations.

[ 1, 2, 4; 1, 3, 6; 2, 4, 7 ] * [ x, y, z ] = [ -1, -2, -3 ]

What are the coefficients of the linear equations?

<p>1, 2, 4; 1, 3, 6; 2, 4, 7</p> Signup and view all the answers

Find x, y, and z in the system of equations x + 2y + 4z = -1, x + 3y + 6z = -2, 2x + 4y + 7z = -3.

<p>x = 1, y = -1, z = 1</p> Signup and view all the answers

What is the cofactor matrix of matrix A?

<p>[ 1, 1, -5; 0, 1, -2; 0, 0, 1 ]</p> Signup and view all the answers

Determine the determinant of matrix A.

<p>1</p> Signup and view all the answers

What is the inverse matrix of A?

<p>[ 1, 0, 0; 1, 1, 0; -5, -2, 1 ]</p> Signup and view all the answers

Find the inverse of the matrix M.

<p>Adj(M) = [ 5, -1, -2; -2, 0, 1 ]</p> Signup and view all the answers

What is the determinant of matrix M?

<p>-1</p> Signup and view all the answers

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