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For , find the value of scalar for which , without finding…
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
For
B
=
[
2
−
2
−
1
0
]
B=\begin{bmatrix}2&-2\\-1&0\end{bmatrix}
B
=
[
2
−
1
−
2
0
]
, find the value of scalar
λ
\lambda
λ
for which
λ
B
−
1
+
I
=
O
\lambda B^{-1}+I=O
λ
B
−
1
+
I
=
O
, without finding
B
−
1
B^{-1}
B
−
1
.
Related theory
Determinants
Matrices
Adjoint and inverse
Invertible matrices
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