Question

f A is a 2 x 2 matrix all whose entries are 1, the value of det 2(A- I) is a) -4 b)-2 c) 2 d) -1​

Answer 1

Answer:

The value of det 2(A - I) is (a) -4

Step-by-step explanation:

Here

$A = \left[\begin{array}{cc}1&1\\1&1\end{array}\right]$  and $I = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

∴$A - I = \left[\begin{array}{cc}0&1\\1&0\end{array}\right]$

∴$2(A -I) = \left[\begin{array}{cc}0&2\\2&0\end{array}\right]$

∴ det 2(A - I) = 0 - 4 = -4

Answer 2

Answer:

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