If matrix A=[\table 1 , -1 ; 2 , 3], then A^{2}-4 A+5 I is where I is a unit matrix.

Correct Answer is : Null matrix

MHT CET 2021 Math Solved Paper

Question : 17 of 100

Marks: +1, -0

If matrix A=[

1	−1
2	3

], then A2−4A+5I is where I is a unit matrix.

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1×1+(−1)×2	1×(−1)+(−1)×3
2×1+3×2	2×(−1)+3×3

1−2	−1−3
2+6	−2+9

−1−4+5	−4+4+0
8−8+0	7−12+5

−1	−4
8	7

−1	−4
8	7

−1	−4
8	7

4	−4
8	12