Question -
Answer -
Given
We know that if two matrices are equal then the elements of eachmatrices are also equal.
Given that two matrices are equal.
Therefore by equating them we get,
2a + b = 4┬атАжтАж┬а(1)
And a тАУ 2b = тАУ 3┬атАжтАж (2)
And 5c тАУ d = 11┬атАжтАж┬а(3)
4c + 3d = 24┬атАжтАж┬а(4)
Multiplying equation (1) by 2 and adding to equation (2)
4a + 2b + a тАУ 2b = 8 тАУ 3
тЗТ┬а5a= 5
тЗТ┬аa= 1
Now, substituting the value of a in equation (1)
2 ├Ч 1 + b = 4
тЗТ┬а2+ b = 4
тЗТ┬аb= 4 тАУ 2
тЗТ┬аb= 2
Multiplying equation (3) by 3 and adding to equation (4)
15c тАУ 3d + 4c + 3d = 33 + 24
тЗТ┬а19c= 57
тЗТ┬аc= 3
Now, substituting the value of c in equation (4)
4 ├Ч 3 + 3d = 24
тЗТ┬а12+ 3d = 24
тЗТ┬а3d= 24 тАУ 12
тЗТ┬а3d= 12
тЗТ┬аd= 4
тИ┤┬аa= 1, b = 2, c = 3 and d = 4