Ex 4.5, 6 - Chapter 4 Class 12 Determinants (Term 1)
Last updated at Jan. 22, 2020 by Teachoo
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Ex 4.5, 6
Find the inverse of each of the matrices (if it exists) [■8(−1&5@−3&2)]
Let A = [■8(−1&5@−3&2)]
We know that
A-1 = 1/(|A|) adj A
exists when |A|≠ 0
|A| = |■8(−1&5@−3&2)|
= −1 × 2 − (−3) × 5 = −2 + 15 = 13
Since |A|≠ 0, A–1 exists
Calculating adj A
A =[■8(−1&5@−3&2)]
adj(A) = [■8(−1&5@−3&2)]
= [■8(2&−5@3&−1)]
Calculating A–1
A-1 = 1/(|A|) adj A
= 𝟏/𝟏𝟑 [■8(𝟐&−𝟓@𝟑&−𝟏)]
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Davneet Singh
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