Question

Solve the equation for X, given that A=[[ 1 2; 3 4 ]] and B=[[ -1 0; 1 0 ]].
2(A+2 B)=3 X

Answer 1

To solve the equation 2(A+2B)=3X, first find the values of A+2B, substitute into the equation, and solve for X.

Step-by-step explanation:

To solve the equation 2(A+2B)=3X, we first need to find the values of A+2B. Adding the matrices A and 2B, we get A+2B = [[1+2(-1), 2+2(0)], [3+2(1), 4+2(0)]] = [[-1, 2], [5, 4]]. Now, we can substitute this value back into the equation and solve for X.

X = (2(A+2B))/3

X = (2/3) * [[-1, 2], [5, 4]]

X = [[-2/3, 4/3], [10/3, 8/3]]