Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
If , show that . Hence find…
MATHEMATICS · Subjective · CBSE · Mathematics · Matrices · Matrices
Problem
13. If
A
=
3
1
−
1
2
\mathrm{A}=\begin{array}{cc}3 & 1 \\ -1 & 2\end{array}
A
=
3
−
1
1
2
, show that
A
2
−
5
A
+
7
I
=
O
\mathrm{A}^{2}-5 \mathrm{~A}+7 \mathrm{I}=\mathrm{O}
A
2
−
5
A
+
7
I
=
O
. Hence find
A
−
1
\mathrm{A}^{-1}
A
−
1
.
Related theory
Matrix Operations
Matrices
Determinants
Adjoint and inverse
Invertible matrices
Browse the problem library