Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
118 views
in Matrices by (29.9k points)
closed by

Using elementary row transformations, find the inverse of each of the following matrices:

\( \begin{bmatrix} 1&2 \\[0.3em] 3 & 7 \\[0.3em] \end{bmatrix}\)

[(1,2)(3,7)]

1 Answer

+1 vote
by (30.3k points)
selected by
 
Best answer

Let, A = \( \begin{bmatrix} 1& 2 \\[0.3em] 3& 7 \\[0.3em] \end{bmatrix}\)

Now we are going to write the Augmented Matrix followed by matrix A and the Identity matrix I, i.e.,

Now our job is to convert the matrix A into Identity Matrix. 

Therefore, the matrix we will get converting the matrix I will be our A -1.

Here, the matrix A is converted into Identity matrix. Therefore, we get the A-1 as,

A-1\( \begin{bmatrix} 7& -2 \\[0.3em] -3& 1 \\[0.3em] \end{bmatrix}\) 

The value of A -1 is correct or not can be verified by the formula: AA-1 = I

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...