Advertisements
Advertisements
प्रश्न
Solve the equation for x, y, z and t, if `2[(x, z),(y, t)] + 3[(1, -1),(0, 2)] = 3[(3, 5),(4, 6)]`
बेरीज
Advertisements
उत्तर
`2[(x, z),(y, t)] + 3[(1, -1),(0, 2)] = 3[(3, 5),(4, 6)]`
⇒ `[(2x, 2z),(2y, 2t)] + [(3, -3),(0, 6)] = [(9, 15),(12, 18)]`
⇒ `[(2x + 3, 2z - 3), (2y, 2t + 6)] = [(9, 15), (12, 18)]`
Comparing the corresponding elements of these two matrices, we get:
2x + 3 = 9
⇒ 2x = 6
⇒ x = 3
2y = 12
⇒ y = 6
2z – 3 = 15
⇒ 2z = 18
⇒ z = 9
2t + 6 = 18
⇒ 2t = 12
⇒ t = 6
∴ x = 3, y = 6, z = 9 and t = 6
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
