If {\A}=\left[\begin{array}{cc}1 & 3 \ 3 & 4]\end{array} and {\B}=\left[\begin{array}{cc}-2 & 1 \ -3 & 2]\end{array} and {\A}^2-5 {\B}^2=5 {\C}. Find matrix {\C} where {\C} is a 2 by 2 matrix.

ICSE Class X Math 2017 Solved Paper - Question 5

Question : 5 of 31

Marks: +1, -0

{\A}={[\table 1 , 3 ; 3 , 4]}

and

{\B}={[\table -2 , 1 ; -3 , 2]}

and

{\A}^2-5 {\B}^2=5 {\C}

. Find matrix

{\C}

where

{\C}

is a 2 by 2 matrix.

Solution:

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