Advertisements
Advertisements
प्रश्न
Find matrices X and Y, if
X + Y = `[(5, 2),(0, 9)]` and X - Y = `[(3 , 6),(0, -1)]`
उत्तर
We have
X + Y = `[(5 , 2),(0 , 9)]`
and X - Y = `[(3 , 6),(0 , -1)]`
Now (X + Y) + (X - Y) = `[(5 , 2),(0 , 9)][(3 , 6),(0 , -1)]`
2X = `[(8 , 8),(0, 8)]`
X = `(1)/(2)[(8 , 8),(0, 8)] = [(4 , 4),(0 , 4)]`
Also (X + Y) - (X - Y) = `[(5 , 2),(0 , 9)] + [(-3 , -6),(0 , 1)]`
⇒ 2Y = `[(2 , -4),(0 , 10)]`
APPEARS IN
संबंधित प्रश्न
Write the additive inverse of matrices A, B and C:
Where `A = [(6, -5)]; B = [(-2, 0),(4, -1)]` and `C = [(-7), (4)]`.
Find x and y if `x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]`
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `A^t - 1/3 A`
If A = `[(2, 1),(0, 0)]`, B = `[(2, 3),(4, 1)]` and C = `[(1, 4),(0, 2)]`; then show that (B – A)C = BC – AC.
If A = `[(2, x),(0, 1)]` and B = `[(4, 36),(0, 1)]`; find the value of x, given that A2 = B.
If A = `[(1, 2),(3, 4)]`, B = `[(6, 1), (1, 1)]` and C = `[(-2, -3),(0, 1)]`, find the following and state if they are equal CA + B
If P = `|(14 , 17),(13,1)|` and Q = `|(2 , 1),(3 , -3)|` , find matrix M such that P - M = 3Q
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
A = `[(1, 2),(-2, 3)]` and B = `[(-2, -1),(1, 2)], "C" [(0, 3),(2, -1)]`Find A + 2B – 3C
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(z, 0),(10, 5)]` Find the values of x and y
