Evaluate the determinants.
[24−5−1]
LetA=[24−5−1], it is a square matrix. ∴ |A|=2×(−1)−(−5)×4=−2+20=18
Evaluate ; if possible: (i)[32][20](ii)[1−2][−23−14](iii)[643−1][−13](iv)[643−1][−13] IF not possible Give a reason.
Evaluate 3⎡⎢⎣1−1−201−2⎤⎥⎦−⎡⎢⎣−52−134−4⎤⎥⎦
The following matrix can be converted to a Identity matrix using elementary row transformations ⎡⎢⎣122255−111⎤⎥⎦
Compute the indicated products. (i)[ab−ba][a−bba]
(ii)⎡⎢⎣123⎤⎥⎦[2 3 4]
(iii)[1−223][123231]
(iv)⎡⎢⎣234345456⎤⎥⎦⎡⎢⎣1−35024305⎤⎥⎦
(v)⎡⎢⎣2132−11⎤⎥⎦[101−121]
(vi)[3−13−102]⎡⎢⎣2−31031⎤⎥⎦