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Misc 6 - Chapter 3 Class 12 Matrices

Last updated at May 29, 2023 by

Misc 9 - Find x, if [x -5 -1] [1 0 2 0 2 1 2 0 3] - Miscellaneous

Misc. 9 - Chapter 3 Class 12 Matrices - Part 2

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Misc 6 Find x, if [x -5 -1] [■8(1&0&[email protected]&2&[email protected]&0&3)] [■8(𝑥@[email protected])] = O 〖"[x −5 −1]" 〗_(1×3) [■8(1&0&[email protected]&2&[email protected]&0&3)]_(3×3) [■8(𝑥@[email protected])]_(3×1) = O 〖"[x(1) + (−5) (0) + (–1)(2) x(0) +(– 5) (2) + (−1)0 x(2) + (– 5)(1) + (−1)(3)]" 〗_(1×3) [■8(𝑥@[email protected])] = O 〖"[x + 0 – 2 0 – 10 + 0 2x – 5 − 3]" 〗_(1×3) [■8(𝑥@[email protected])]_(3×1)= O 〖"[x – 2 – 10 2x – 8]" 〗_(1×3) [■8(𝑥@[email protected])]_(3×1) = O 〖"[(x – 2)(x) + (−10) (4) + (2x − 8) (1)]" 〗_(1×1) = O (x– 2)x – 10 (4) + 2x – 8 (1) = 0 x2 – 2x – 40 + 2x – 8 = 0 x2 + 0 – 48 = 0 x2 – 48 = 0 x2 = 48 x = ±√48 x = ±√(4 × 4 × 3) x = ± 4√3 Hence, x = ± 4√𝟑

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.