Maths Crash Course - Live lectures + all videos + Real time Doubt solving!

Ex 3.2

Ex 3.2, 1

Ex 3.2, 2 (i)

Ex 3.2, 2 (ii) Important

Ex 3.2, 2 (iii)

Ex 3.2, 2 (iv)

Ex 3.2, 3 (i)

Ex 3.2, 3 (ii) Important

Ex 3.2, 3 (iii)

Ex 3.2, 3 (iv) Important

Ex 3.2, 3 (v)

Ex 3.2, 3 (vi) Important

Ex 3.2, 4

Ex 3.2, 5

Ex 3.2, 6

Ex 3.2, 7 (i)

Ex 3.2, 7 (ii) Important You are here

Ex 3.2, 8

Ex 3.2, 9

Ex 3.2, 10

Ex 3.2, 11

Ex 3.2, 12 Important

Ex 3.2, 13 Important

Ex 3.2, 14

Ex 3.2, 15

Ex 3.2, 16 Important

Ex 3.2, 17 Important

Ex 3.2, 18

Ex 3.2, 19 Important

Ex 3.2, 20 Important

Ex 3.2, 21 (MCQ) Important

Ex 3.2, 22 (MCQ) Important

Chapter 3 Class 12 Matrices

Serial order wise

Last updated at Aug. 16, 2021 by Teachoo

Maths Crash Course - Live lectures + all videos + Real time Doubt solving!

Ex 3.2, 7 Find X and Y, if (ii) 2X + 3Y = [■8(2&[email protected]&0)] and 3X + 2Y = [■8(2&−[email protected]−1&5)] Given 2X + 3Y = [■8(2&[email protected]&0)] Multiplying by 3 3 × (2X+ 3Y) = 3 [■8(2&[email protected]&0)] 6X + 9Y = [■8(2 × 3&3 × [email protected] × 3&0 × 3)] 6X + 9Y = [■8(6&[email protected]&0)] Given 3X + 2Y = [■8(2&−[email protected]−1&5)] Multiplying by 2 2 × (3X + 2Y) = 2 × [■8(2&−[email protected]−1&5)] 6X + 4Y = [■8(2 ×2&−2 ×[email protected]−1 ×2&5 ×2)] 6X + 4Y = [■8(4&−[email protected]−2&10)] Subtracting (1) from (2), (6X + 9Y) – (6X + 4Y) = [■8(6&[email protected]&0)] – [■8(4&−[email protected]−2&10)] 6X + 9Y – 6X – 4Y = [■8(6−4&9−(−4)@12−(−2)&0−10)] 9Y – 4Y + 6X – 6X = [■8(2&[email protected]+2&−10)] 5Y + 0 = [■8(2&[email protected]&−10)] Y = 1/5 [■8(2&[email protected]&−10)] Y = [■8(2/5&13/[email protected]/5&−10/5)] = [■8(2/5&13/[email protected]/5&−2)] Putting value of Y in (1) 6X + 9Y = [■8(6&[email protected]&0)] 6X + 9 [■8(2/5& 13/[email protected]/5&−2)] = [■8(6&[email protected]&0)] 6X + [■8(9 × 2/5&9 ×13/[email protected] ×14/5&9 ×−2)] = [■8(6&[email protected]&0)] 6X + [■8(18/5&117/[email protected]/5&−18)] = [■8(6&[email protected]&0)] 6X = [■8(6&[email protected]&0)] – [■8(18/5&117/[email protected]/5&−18)] 6X = [■8(6−18/5&9−117/[email protected]−126/5&0−(−18))] 6X = [■8((6 × 5 − 18)/5&(9 × 5 − 117)/[email protected] (12 × 5 − 126)/5&18)] 6X = [■8((30 − 18)/5&(45 − 117)/[email protected] (60 − 126)/5&18)] 6X = [■8(12/5&(−72)/[email protected] (−66)/5&18)] X = 1/6 [■8(12/5&(−72)/[email protected] (−66)/5&18)] X = [■8(1/6 × 12/5&1/6 ×(−72)/[email protected]/6 ×(−66)/5&1/6 ×18)] X = [■8(2/5&(−12)/[email protected](−11)/5&3)] Thus, X = [■8(𝟐/𝟓& (−𝟏𝟐)/𝟓@ (−𝟏𝟏)/𝟓&𝟑)] , Y = [■8(𝟐/𝟓&𝟏𝟑/𝟓@𝟏𝟒/𝟓&−𝟐)]