CBSE Class 12-science Answered
how to solve the adjoint of 3×3 matrix
![question image](http://images.topperlearning.com/topper/new-ate/top_mob16727230151001593737IMG_20230103_104430.jpg)
Asked by rahulsharmaaps4 | 03 Jan, 2023, 10:46: AM
Let us do elementary operations on given matrix and unit matrix as shown below
![begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets cross times A end style](https://images.topperlearning.com/topper/tinymce/cache/f18b01c59fd4e2eaded448cdbc20cf13.png)
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R3 - 59 R1
![begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 69 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row cell negative 59 end cell 0 1 end table close square brackets cross times A end style](https://images.topperlearning.com/topper/tinymce/cache/79b477e7f593d5e5bec9268bd77d72d7.png)
--------------------------
R3 - 69R2
![begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 0 cell negative 1 end cell end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row cell negative 59 end cell cell negative 69 end cell 1 end table close square brackets cross times A end style](https://images.topperlearning.com/topper/tinymce/cache/556345ae09a82796dc510661b3570e63.png)
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R3 × (-1)
![begin mathsize 14px style open square brackets table row 1 0 0 row 0 1 0 row 0 0 1 end table close square brackets space equals space open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets cross times A end style](https://images.topperlearning.com/topper/tinymce/cache/502e75bc2dfc693c35d4a8435afcc21a.png)
Inverse of given matrix is
![begin mathsize 14px style space open square brackets table row 1 0 0 row 0 1 0 row 59 69 cell negative 1 end cell end table close square brackets end style](https://images.topperlearning.com/topper/tinymce/cache/4002d8a2e755c162884dee3fb3cacc3f.png)
Answered by Thiyagarajan K | 03 Jan, 2023, 15:14: PM
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