Question

Solve each equation [[3,-36],[3,8]]=[[-3,4],[1,0]]x

Answer 1

To solve the matrix equation given, we must find the vector x by setting up and solving simultaneous equations obtained from matrix multiplication.

Step-by-step explanation:

To solve the matrix equation [[3,-36],[3,8]]=[[-3,4],[1,0]]x, we need to find the vector x that satisfies the equation. This involves performing matrix multiplication and dealing with simultaneous equations. To proceed:

1. Let x be the column matrix [x1, x2].
2. Set up the system as 3x1 - 36x2 = -3 and 3x1 + 8x2 = 4.
3. Solve these simultaneous equations using substitution or elimination methods.

After finding the values for x1 and x2, express x as a column vector with these values.