Q.

If A=3    24    3 and B=−1735 , then find the sum of the absolute value of the entries of  the matrices X and Y satisfying AX=B and YA=B is

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answer is 0120.00.

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Detailed Solution

Given that A=3243 and B=−1735|A|=3243=9−8=1A−1=adj⁡(A)|A|=3−2−43=3−2−43AX=B⇒X=A−1B=3−2−43−1735=−91113−13YA=B⇒YAA−1=BA−1⇒Y=BA−1=−17353−2−43=−3123−119sum of the absolute values of entries of the matrices X and Y = 9+11+13+13+31+23+11+9=120
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If A=3    24    3 and B=−1735 , then find the sum of the absolute value of the entries of  the matrices X and Y satisfying AX=B and YA=B is