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