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Standard XII
Applied Mathematics
Inverse of Matrix
Question
Show that the matrix $$A =\begin{bmatrix} -8& 5\\ 2 & 4\end{bmatrix}$$ satisifies the equation $$A^{2} + 4A - 42I = 0$$ and hence find $$A^{-1}$$.
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Similar Questions
Q1
Show that the matrix $$A =\begin{bmatrix} -8& 5\\ 2 & 4\end{bmatrix}$$ satisifies the equation $$A^{2} + 4A - 42I = 0$$ and hence find $$A^{-1}$$.
View Solution
Q2
Show that $$A=\begin{bmatrix} -8 & 5 \\ 2 & 4 \end{bmatrix}$$ satisfies the equation $$ A^2+4A-42I = O.$$ Hence, find $$ A^{-1}.$$
View Solution
Q3
If $$A=\begin{bmatrix} -8 & 5 \\ 2 & 4 \end{bmatrix}$$ then prove that $$A^2+4A-42I=0$$, also find $$A^{-1}$$
View Solution
Q4
Show that
A
=
-
8
5
2
4
satisfies the equation
A
2
+
4
A
-
42
I
=
O
. Hence, find A
−1
.
View Solution
Q5
Show that
A
=
-
8
5
2
4
satisfies the equation
A
2
+
4
A
-
42
I
=
O
. Hence, find A
−1
.
View Solution