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Question

If A=[x110] and A2=I, A1 is equal to ...............

A
[0110]
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B
[1001]
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C
[1111]
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D
[0000]
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Solution

The correct option is A [0110]
A=[x110]
Given: A2=I where I is 2×2 identity matrix
Let us find A2
=[x110][x110]
=[x2+xx+0x+01+0]
Given A2=I
[x2+xx+0x+01+0]=[1001]
Equating,we get
x2+x=1,x=0
Put x=0 in A
A=[0110]
We have A2=I
Pre-multiply A1 both sides,we get
A1A2=A1I
A=A1
Hence,A1=[0110]

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