To understand matrix equations, you should know how to multiply two matrices. Let's say you are showed the result of two matrices multiplication ( ) and you are asked to find the matrix B and you are provided matrix A and C, how will you find it? With the help of the matrix equation. In a matrix equation, the unknown is a matrix. This means that you will denote the unknown matrix as matrix X.

A · X = B

To solve, check that the matrix is invertible, if it is, premultiply (multiply to the left) both sides by the matrix inverse of A.

If the equation is of type X · A = B, the members must postmultiply (multiply to the right) because matrix multiplication is not commutative.

1. Given the matrices . Solve the equation: A · X = B Find the determinant of the above matrix.   , this means that there is an inverse         2. Given the matrices . Solve the equation: X · A + B = C   , this means that there is an inverse             3.Solve the matrix equation:

A · X + 2 · B = 3 · C  , this means that there is an inverse             4.Solve the matrix equation:             To solve a system of linear equations, it can be transformed into a matrix equation and then solved.           The platform that connects tutors and students     4.00 (3 rating(s)) Loading... 