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

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#### Solution

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.

Concept: Operations on Matrices - Addition of Matrices

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