Example 21 - Chapter 3 Class 12 Matrices
Last updated at April 16, 2024 by Teachoo
Examples
Example 1
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Example 3 Important
Example 4
Example 5 Important
Example 6
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Example 11 Important
Example 12
Example 13 Important
Example 14
Example 15
Example 16 Important
Example 17
Example 18 Important
Example 19
Example 20 Important
Example 21 You are here
Example 22 Important
Example 23 Important
Example 24 Important
Example 25
Question 1 Deleted for CBSE Board 2024 Exams
Question 2 Important Deleted for CBSE Board 2024 Exams
Question 3 Important Deleted for CBSE Board 2024 Exams
Chapter 3 Class 12 Matrices
Serial order wise
Transcript
Example 21 If A =[■8(−2@4@5)], B = [1 3 -6], verify that (AB)’ = B’A’ Solving L.H.S Finding AB AB = [■8(−2@4@5)]_(3 × 1) 〖"[1 3 −6]" 〗_(1 × 3) = [■8(−2 × 1&−2 × 3&−2 × (−6)@4 × 1&4 × 3&4 × (−6)@5 × 1&5 × 3&5 × (−6))]_(3 × 3) = [■8(−𝟐&−𝟔&𝟏𝟐@𝟒&𝟏𝟐&−𝟐𝟒@𝟓&𝟏𝟓&−𝟑𝟎)] Now, (AB)’ = [■8(−2&4&5@−6&12&15@12&−24&−30)] Solving R.H.S B’ A’ Finding B’ Given B = "[1 3 −6]" B’ = [■8(𝟏@𝟑@−𝟔)] Now, A = [■8(−2@4@5)] A’ = [ −2 4 5] Finding B’A’ B’ A’ = [■8(1@3@−6)]_(3×1) 〖"[ −2 4 5]" 〗_(1×3) = [■8(1 × (−2)&1 × 4 &1 × 5@3 × (−2)&3 × 4&3 × 5@−6 × (−2)&−6 × 4&−6 × 5)]_(3×3) = [■8(−2&4&5@−6&12&15@12&−24&−30)] = L.H.S Since L.H.S = R.H.S Hence proved
