If A=α 01 1 and B=1 05 1, then value of α for which A2=B, is

A2=α 01 1α011=α20α+11Clearly, no real value of α.

If A=α 01 1 and B=1 05 1, then value of α for which A2=B, is

A2=α 01 1α011=α20α+11Clearly, no real value of α.

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If $A = [\begin{array}{ll} α 0 \\ 1 1 \end{array}]$ and $B = [\begin{array}{ll} 1 0 \\ 5 1 \end{array}]$ , then value of $α$ for which $A^{2} = B$ , is

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no real values

answer is D.

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$A^{2} = [\begin{array}{ll} α 0 \\ 1 1 \end{array}] [\begin{array}{cc} α & 0 \\ 1 & 1 \end{array}] = [\begin{array}{cc} α^{2} & 0 \\ α + 1 & 1 \end{array}]$

Clearly, no real value of $α$ .

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If A=α 01 1 and B=1 05 1, then value of α for which A2=B, is

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If $A = [\begin{array}{ll} α 0 \\ 1 1 \end{array}]$ and $B = [\begin{array}{ll} 1 0 \\ 5 1 \end{array}]$ , then value of $α$ for which $A^{2} = B$ , is