Advertisements
Advertisements
प्रश्न
Find X and Y If X + Y = `[(7, 0),(2, 5)]` and X – Y = `[(3, 0),(0, 3)]`
उत्तर
X + Y = `[(7, 0),(2, 5)]` .....(i)
X – Y = `[(3, 0),(0, 3)]` .....(ii)
Adding (i) and (ii) we get,
2x = `[(7, 0),(2, 5)] + [(3, 0),(0, 3)]`
= `[(7 + 3, 0 + 0),(2 + 0, 5 + 3)]`
= `[(10, 0),(2, 8)]`
∴ x = `(1)/(2)[(10, 0),(2, 8)]`
= `[(5, 0),(1, 4)]`
Subtracting (ii) from (i),
2y = `[(7, 0),(2, 5)] - [(3, 0),(0, 3)]`
⇒ 2y = `[(7 - 3, 0 - 0),(2 - 0, 5 - 3)]`
= `[(4, 0),(2, 2)]`
∴ y = `(1)/(2)[(4, 0),(2, 2)]`
= `[(2, 0),(1, 1)]`
Hence x = `[(5, 0),(1, 4)], "y" = [(2, 0),(1, 1)]`.
APPEARS IN
संबंधित प्रश्न
Evaluate:
`2[(-1, 0),(2, -3)] + [(3, 3),(5, 0)]`
Given `A = [(1, 1),(-2, 0)]` and `B = [(2, -1), (1, 1)]`. Solve for matrix X:
3X + B + 2A = 0
If `M = [(0), (1)]` and `N = [(1),(0)]`, show that `3M + 5N = [(5),(3)]`
If `[(1, 4),(-2, 3)] + 2M = 3[(3, 2),(0, -3)]`, find the matrix M
Evaluate if possible `[(6, 4),(3, -1)][(-1),(3)]`
Evaluate if possible `[(6, 4),(3, -1)][(-1, 3)]`
If A = `[(0, 2),(5, -2)]`, B =` [(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AI
Given A = `[(4, 1),(2,3)]` and B = `[(1, 0),(-2, 1)]`, find A – B
Find x and y, if `[(3, -2),(-1, 4)][(2x),(1)] + 2[(-4),(5)] = 4[(2),(y)]`
Given A = `[(4, 7),(3, -2)]` and B = `[(1, 2),(-1, 4)]`, then A – 2B is ______.
