Processing math: 79%
Home / Aptitude Tests / Further Mathematics / If \(B = \begin{pmat...
If \(B = \begin{pmatrix}  2 & 5  \\  1 &a...

If B=(2513), find B1.

A.

A=(3512)

B.

A=(3512)

C.

A=(3512)

D.

A=(3512)

Correct answer is C

B.B1=1, let B1=(abcd)

(2513)(abcd)(1001)

Multiplying B×B1, we have the following equations:

2a+5c=1.........(1); a+3c=0........(2)

2b+5d=0..........(3); b+3d=1..........(4)

Solving the equations simultaneously, we have

a=3;b=5;c=1;d=2B1=(3512)