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we cannot use a matrix equation to solve when what situation occurs? a) any of t

ID: 3138395 • Letter: W

Question

we cannot use a matrix equation to solve when what situation occurs? a) any of these b) the coefficient matrix does not have an inverse c) there are more than two variables d) one of the equations is equal to zero we cannot use a matrix equation to solve when what situation occurs? a) any of these b) the coefficient matrix does not have an inverse c) there are more than two variables d) one of the equations is equal to zero a) any of these b) the coefficient matrix does not have an inverse c) there are more than two variables d) one of the equations is equal to zero

Explanation / Answer

we cannot use a matrix equation to solve when, the coefficient matrix does not have an inverse.

For any square linear system Ax =b over some field, there exists a unique solution iff detA?0 , as then we can use the inverse matrix: A-1Ax= A-1b. Which implies, x=A-1b. So if coefficient matrix A does not have an inverse, we cannot solve the matrix equation.