Solutions HW 13 9 4 2 Write the Given System in Matrix Form X Ax Math Berkeley

Instructions and help about Solutions HW 13 9 4 2 Write The Given System In Matrix Form X Ax Math Berkeley

let's say matrix a is 3 negative 6 5 2 and matrix b has the elements 7 4 negative five and eight now let's say we're given the equation three a plus x is equal to two b what is the value of x so x represents a matrix and we need to calculate the value of this matrix the first thing we need to do is solve for x in this equation and we can do that if we subtract both sides by 3a so matrix x is going to be 2b minus 3a so all we need to do is perform the operations on matrices b and a ing to that equation and that will give us matrix x so what is the value of 3b i mean 2b rather minus 3a so we need to multiply matrix b by 2 and then subtract it by three times the value of matrix a so two times seven is fourteen and then two times four is eight 2 times negative 5 that's negative 10 2 times 8 is 16. so basically we simply need to double everything in that matrix now for the second one i'm going to multiply this matrix by negative 3. if i do that since i used up the negative sign a positive s