Advertisements
Advertisements
प्रश्न
Find x and y if `x[(4),(-3)] + y[(-2),(3)] = [(4),(6)]`
उत्तर
`x[(4),(-3)] + y[(-2),(3)] = [(4),(6)]`
`[(4x),(-3x)] + [(-2y),(3y)] = [(4),(6)]`
4x – 2y = 4
(1) ⇒ 2x – y = 2
(2) ⇒ 3x – y = 2
– x + y = 2
Add (1) and (2)
2x – y = 2 ....(1)
– x + y = 2 ....(2)
x = 4
Substitute the value of x = 4 in (2)
– 4 + y = 2
y = 2 + 4 = 6
The value of x = 4 and y = 6
APPEARS IN
संबंधित प्रश्न
If A = `[(5, 4, 3),(1, -7, 9),(3, 8, 2)]` then find the transpose of A
Find X and Y if X + Y = `[(7, 0),(3, 5)]` and X – Y = `[(3, 0),(0, 4)]`
If A = `[(0, 4, 9),(8, 3, 7)]`, B = `[(7, 3, 8),(1, 4, 9)]` find the value of B – 5A
If A is of order p × q and B is of order q × r what is the order of AB and BA?
If A = `[("a", "b"),("c", "d")]` and I = `[(1, 0),(0, 1)]` show that A2 – (a + d)A = (bc – ad)I2
If A = `[(4, 2),(-1, x)]` and such that (A – 2I)(A – 3I) = 0, find the value of x
Give your own examples of matrices satisfying the following conditions:
A and B such that AB = 0 and BA ≠ 0
Find the matrix A such that `[(2, -1),(1, 0),(-3, 4)]"A"^"T" = [(-1, -8, -10),(1, 2, -5),(9, 22, 15)]`
A shopkeeper in a Nuts and Spices shop makes gift packs of cashew nuts, raisins and almonds. Pack I contains 100 gm of cashew nuts, 100 gm of raisins and 50 gm of almonds. Pack-II contains 200 gm of cashew nuts, 100 gm of raisins and 100 gm of almonds. Pack-III contains 250 gm of cashew nuts, 250 gm of raisins and 150 gm of almonds. The cost of 50 gm of cashew nuts is ₹ 50, 50 gm of raisins is ₹ 10, and 50 gm of almonds is ₹ 60. What is the cost of each gift pack?
If the matrix 'A' is both symmetric and strew symmetric then.
