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

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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:

x2 = 0x = 2

Thus, the value of x is 2.

 

Concept: Operations on Matrices - Addition of Matrices
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