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

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:

x2 = 0x = 2

Thus, the value of x is 2.

Concept: Operations on Matrices - Addition of Matrices
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