The matrix operation used to solve a system of linear equations is d. Inversion.

Here's a step-by-step explanation:

1. Convert the system of linear equations into matrix form, Ax = b, where A is the matrix of coefficients, x is the column vector of variables, and b is the column vector of constants.

2. Find the inverse of matrix A, denoted as A^-1. This is only possible if A is a square matrix and its determinant is not zero.

3. Multiply both sides of the equation Ax = b by A^-1. This gives A^-1Ax = A^-1b.

4. Since multiplying a matrix by its inverse results in the identity matrix, the left side simplifies to Ix, or simply x.

5. The solution to the system of equations is then x = A^-1b.

So, the operation used is inversion.

Question

The matrix operation used to solve a system of linear equations is d. Inversion.

Here's a step-by-step explanation:

1. Convert the system of linear equations into matrix form, Ax = b, where A is the matrix of coefficients, x is the column vector of variables, and b is the column vector of constants.

2. Find the inverse of matrix A, denoted as A^-1. This is only possible if A is a square matrix and its determinant is not zero.

3. Multiply both sides of the equation Ax = b by A^-1. This gives A^-1Ax = A^-1b.

4. Since multiplying a matrix by its inverse results in the identity matrix, the left side simplifies to Ix, or simply x.

5. The solution to the system of equations is then x = A^-1b.

So, the operation used is inversion.

Knowee AI · Accepted Answer

The matrix operation used to solve a system of linear equations is d. Inversion.

Here's a step-by-step explanation:

1. Convert the system of linear equations into matrix form, Ax = b, where A is the matrix of coefficients, x is the column vector of variables, and b is the column vector of constants.

2. Find the inverse of matrix A, denoted as A^-1. This is only possible if A is a square matrix and its determinant is not zero.

3. Multiply both sides of the equation Ax = b by A^-1. This gives A^-1Ax = A^-1b.

4. Since multiplying a matrix by its inverse results in the identity matrix, the left side simplifies to Ix, or simply x.

5. The solution to the system of equations is then x = A^-1b.

So, the operation used is inversion.

Which matrix operation is used to solve a system of linear equations?a.Subtractionb.Additionc.Multiplicationd.Inversion

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