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Let and be square matrices of the same order and be the corresponding identity matrix
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Let
A
A
A
and
B
B
B
be square matrices of the same order and
I
I
I
be the corresponding identity matrix. If
4
A
−
2
(
B
+
I
)
+
3
(
2
A
−
B
)
=
O
,
4A-2(B+I)+3(2A-B)=O,
4
A
−
2
(
B
+
I
)
+
3
(
2
A
−
B
)
=
O
,
then
B
B
B
is (a)
2
A
+
2
5
I
2A+\dfrac{2}{5}I
2
A
+
5
2
I
(b)
9
5
A
−
2
5
I
\dfrac{9}{5}A-\dfrac{2}{5}I
5
9
A
−
5
2
I
(c)
2
A
−
2
5
I
2A-\dfrac{2}{5}I
2
A
−
5
2
I
(d)
2
A
+
1
5
I
2A+\dfrac{1}{5}I
2
A
+
5
1
I
Related theory
Matrix Operations
Matrices
Properties of matrix operations
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