Find the inverse of the
matrix `[(3 ,-2 ),(-7 , 5)]`
.
Text Solution
AI Generated Solution
To find the inverse of the matrix \( A = \begin{pmatrix} 3 & -2 \\ -7 & 5 \end{pmatrix} \), we will follow these steps:
### Step 1: Calculate the Determinant of the Matrix
The determinant of a 2x2 matrix \( A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \) is given by the formula:
\[
\text{det}(A) = ad - bc
\]
For our matrix:
...
Topper's Solved these Questions
ADJOINTS AND INVERSE OF MATRIX
RD SHARMA|Exercise QUESTION|1 Videos
ALGEBRA OF MATRICES
RD SHARMA|Exercise Solved Examples And Exercises|410 Videos
Similar Questions
Explore conceptually related problems
Find the inverse of the matrix [2-134]
Find the inverse of the matrix [[2,-2],[4,3]]
Find the inverse of the matrix [{:(3,-1,-2),(2," "0,-1),(3,-5," "0):}]
find the inverse of the matrix A= [(2, -2, 3), (1 ,0 ,-3), (3 ,4 ,0)]
Find the inverse of the matrix A=[[3,1],[4,2]]
Using elementary transformations find the inverse of the matrix A=[(2,1),(4,7)]
Find the inverse of the matrix A = [{:(2, -4), (3, -5):}] .
Find the inverse of the matrix [{:(-3,2),(5,-3):}] Hence, find the matrix P satisfying the matrix equation : P[{:(-3,2),(5,-3):}]=[{:(1,2),(2,-1):}]
Find the inverse of the matrix [(1,2,3),(0,1,4),(5,6,0)]
