Advertisements
Advertisements
प्रश्न
Given `[(2, 1),(-3, 4)] x = [(7),(6)]` Write the matrix x.
उत्तर
Let `x = [(x),(y)]`
∴ `[(2, 1),(-3, 4)] xx [(x),(y)] = [(7),(6)]`
⇒ `[(2x + y),(-3x + 4y)] = [(7),(6)]`
⇒ 2x + y = 7 ...(1)
-3x + 4y = 6 ...(2)
Multiplying by 4 in equation (1) and solving with equation (2)
8x + 4y = 28
-3x + 4y = 6
(+) (-) (-)
11x = 22
x = 2
Putting the value of x in equation (1), we get
∴ 2 × 2 + y = 7
y = 7 - 4 = 3
∴ The matrix x = `[(x), (y)] = [(2),(3)]`
APPEARS IN
संबंधित प्रश्न
If A = `[(1, 3),(3, 4)]`, B = `[(-2, 1),(-3, 2)]` and A2 – 5B2 = 5C. Find matrix C where C is a 2 by 2 matrix.
Find the value of and 'y' if:
`2[(x,y),(9 , (y - 5))] + [(6,4),(-7,5)] = [(10,7),(22,15)]`
If A = `[(2, 1),(1, 3)]` and B = `[(3),(-11)]`, find the matrix X such that AX = B.
If matrix X = `[(-3, 4),(2, -3)][(2),(-2)]` and 2X – 3Y = `[(10),(-8)]`, find the matrix ‘X’ and matrix ‘Y’.
Find the positive integers p and q such that :
`[p q][p/q]= [25]`
Given `[["4 " " 2" ],[" -1 "" 1 " ]]` M = 6I , where M is a matrix and I is unit matrix of order 2×2.
(i) State the order of matrix M.
(ii) Find the matrix M.
Given matrix B =`[(1,1), (8,3)]` Find the matrix X if, X = B2 - 4B. Hence, solve for a and b given X`[(a), (b)] = [(5), (50)]`
Find the value of p and q if:
`[(2p + 1 , q^2 - 2),(6 , 0)] = [(p + 3, 3q - 4),(5q - q^2, 0)]`.
A = `[(3 , 1),(-1 , 2)]`, show that A2 - 5A + 7 I2 = 0.
If A = `[(sec60°, cos90°),(-3tan45°, sin90°)] and "B" = [(0, cos45°),(-2, 3sin90°)]` Find : A2
