Question

(2) Find the inverse of the following matrices by elementary transformations, (I) \( \left[\begin{array}{ll}1 & 2 \\ 5 & 7\end{array}\right] \) (II) \( \left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right] \) (III) \( \left[\begin{array}{ccc}3 & 1 & 4 \\ 1 & 2 & -5 \\ 0 & 1 & 5\end{array}\right] \) (IV) \( \left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right] \).

          (2) Find the inverse of the following matrices by elementary transformations,
(I) \( \left[\begin{array}{ll}1 & 2 \\ 5 & 7\end{array}\right] \)
(II) \( \left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right] \)
(III) \( \left[\begin{array}{ccc}3 & 1 & 4 \\ 1 & 2 & -5 \\ 0 & 1 & 5\end{array}\right] \)
(IV) \( \left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right] \).

(2) Find the inverse of the following matrices by elementary transformations,
(I) [
1 2
5 7
]
(II) [
0 1 2
1 2 3
3 1 1
]
(III) [
3 1 4
1 2 -5
0 1 5
]
(IV) [
3 -3 4
2 -3 4
0 -1 1
].

Added by Jaime J.

NCERT Class 12 Part 1 - Math

Pawan K. Jain 2005 Edition

Chapter 4

Instant Answer

Solved by Expert Vysakh M

Step 1

For matrix (I) \( \begin{bmatrix} 1 & 2 \\ 5 & 7 \end{bmatrix} \), augment it with the identity matrix: \[ \begin{array}{cc|cc} 1 & 2 & 1 & 0 \\ 5 & 7 & 0 & 1 \\ \end{array} \] Show more…

Show all steps

Thanks for your feedback!

(2) Find the inverse of the following matrices by elementary transformations, (I) \( \left[\begin{array}{ll}1 & 2 \\ 5 & 7\end{array}\right] \) (II) \( \left[\begin{array}{lll}0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1\end{array}\right] \) (III) \( \left[\begin{array}{ccc}3 & 1 & 4 \\ 1 & 2 & -5 \\ 0 & 1 & 5\end{array}\right] \) (IV) \( \left[\begin{array}{lll}3 & -3 & 4 \\ 2 & -3 & 4 \\ 0 & -1 & 1\end{array}\right] \).