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MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
Problem
Consider
A
=
(
p
1
2
3
)
A=\begin{pmatrix}p & 1 \\ 2 & 3\end{pmatrix}
A
=
(
p
2
1
3
)
and
B
=
(
3
−
1
q
r
)
B=\begin{pmatrix}3 & -1 \\ q & r\end{pmatrix}
B
=
(
3
q
−
1
r
)
. Given that
A
B
=
I
2
AB=I_2
A
B
=
I
2
, determine the value of
p
+
q
+
r
p+q+r
p
+
q
+
r
. (a)
1
1
1
(b)
−
1
-1
−
1
(c)
0
0
0
(d)
−
2
-2
−
2
Related theory
Matrix Operations
Matrices
Determinants
Adjoint and inverse
Algebra
Invertible matrices
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