Question

Solve the following matrix equation for x: `[x 1] [[1,0],[−2,0]]=0`

Answer 1

The given matrix equation is

`[x 1] [[1,0],[−2,0]]=0`

`[x ×1+1×(−2)    x ×0 + 1×0] = 0⇒[x−2   0] = [0  0]`

By the definition of equality of matrices, we get:

x−2 = 0⇒x = 2

Thus, the value of x is 2.