Q21 of 26 Page 1

Using properties of determinates, prove that :


OR


Using elementary row operations, find the inverse of the following matrix :


Given:


Applying transformation C1 = C1 + C2 - 2C3



Applying transformation R1 = R1 - R2 and R2 = R2 - R3




Applying transformation R2 = R2 - R1




Now finding the determinant, we get




OR


Given:


Let A = IA



Now applying transformation R2 = R2 - 2R3



Now applying transformation R1 = R1 - 2R2 and R3 = R3 + 3R2



Applying transformation R1 interchanges to R2



Applying transformation R1 = R1 + R2 and R3 = R3 + R2



Applying transformation R1 = R1 - 8R3 and R2 = R2 - 13R3



Therefore


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