![Example 25 - Find P-1, given P = [10 -2 -5 1] - Matrices](https://d1avenlh0i1xmr.cloudfront.net/f11243c6-a3ad-4377-bb1d-d1314dc9b245/slide72.jpg)
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Example 25 - Chapter 3 Class 12 Matrices (Term 1)
Last updated at March 16, 2023 by Teachoo
Examples
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Example 5 Important
Example 6
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Example 20 Important
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Example 22 Important
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Example 24 Important
Example 25 Important You are here
Example 26 Important
Example 27 Important
Example 28
Chapter 3 Class 12 Matrices
Serial order wise
Transcript
Example 25 Find P -1, if it exists, given P = [■8(10&−[email protected]−5&1)] Given P = [■8(10&−[email protected]−5&1)] We know that P = I P [■8(10&−[email protected]−5&1)] = [■8(1&[email protected]&1)] P R1 →1/10 R1 [■8(𝟏𝟎/𝟏𝟎&(−2)/[email protected]−5&1)]" = " [■8(1/10&0/[email protected]&1)]" P" [■8(𝟏&(−1)/[email protected]−5&1)] = [■8(1/10&[email protected]&1)] P R2 →"R2" + 5R1 [■8(1&(−1)/[email protected]−𝟓+𝟓(𝟏)&1+5((−1)/5) )]" = " [■8(1/10&[email protected]+5(1/10)&1+5(0))]" P" [■8(1&(−1)/[email protected]−𝟓+𝟓&1−1)]" = " [■8(1/10&[email protected]+(1/2)&1+0)]" P" [■8(1&(−1)/[email protected]𝟎&0)] = [■8(1/10&[email protected]/2&1)] P Since we have all zeros in the second row of the left hand side matrix of the above equation. Therefore, P–1 does not exist.
