Advertisements
Advertisements
प्रश्न
Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the matrix X.
उत्तर
Let X = `[(a),(b)]`
so `[(2, 1),(-3, 4)] [(a),(b)] = [(7),(6)]`
⇒ `[(2a + b),(-3a + 4b)] = [(7),(6)]`
⇒ 2a + b = 7 ...(1)
-3a + 4b = 6 ...(2)
From (1) and (2) a = 2, b = 3
⇒ X = `[(2),(3)]`.
APPEARS IN
संबंधित प्रश्न
Given A = `[(0, 4, 6),(3, 0, -1)]` and B = `[(0, 1),(-1, 2),(-5, -6)]`, find if possible AB
`[(2sin 30° ,- 2 cos 60°),(- cot 45° , sin 90°)]`
`[(tan 45° , sec 60°),("cosec" 30° , cos 0°)]`
If A = `[(3, 5),(4, -2)] and "B" = [(2),(4)]` , is the product AB possible ? Give a reason. If yes, find AB.
If A = `[(-1, 3),(2, 4)], "B" = [(2, -3),(-4, -6)]` find the matrix AB + BA
If X = `[(4, 1),(-1, 2)]`,show that 6X – X² = 9I Where I is the unit matrix.
Find the value of x given that A2 = B Where A = `[(2, 12),(0, 1)] and "B" = [(4, x),(0, 1)]`
If A = `[(3, x),(0, 1)] and "B" = [(9, 16),(0, -y)]`find x and y when A2 = B
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the matrix X.
Choose the correct answer from the given four options :
If A = `[(0, 0),(1, 0)]`, then A2 =
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: (A + B)(A – B)
