Advertisements
Advertisements
प्रश्न
Given matrix A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]` If AX = B.
Write the order of matrix X.
उत्तर
Given A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]`
Let the order of matrix X = m × n
Order of matrix A = 2 × 2
Order of matrix B = 2 × 1
Now, AX = B
∴ m = 2 and n = 1
Thus, order of matrix X = m × n = 2 × 1
APPEARS IN
संबंधित प्रश्न
Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`
If A = `[(3, 1),(-1, 2)]` and I = `[(1, 0),(0, 1)]`, find A2 – 5A + 7I.
Evaluate:
`[(cos 45°, sin 30°),(sqrt(2) cos 0°, sin 0°)] [(sin 45°, cos 90°),(sin 90°, cot 45°)]`
If P = `|(2 , 9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` , find 2P + 3Q
If P =`|(2,9),(5,7)|` and Q = `|(7,3),(4,1)|` find 2Q - P
Find the value of p and q if:
`[(2p + 1 , q^2 - 2),(6 , 0)] = [(p + 3, 3q - 4),(5q - q^2, 0)]`.
Find the value of x given that A2 = B
A = `[(2, 12),(0 , 1)]` B = `[(4, x),(0, 1)]`
Evaluate x,y if
`[(3 , -2),(-1 , 4)][(2x),(1)]+2[(-4),(5)] = [(8),(4y)]`
If `"A" = [(1 , 2),(-2 , 3)], "B" = [(2 , 1),(2 , 3)] "C" = [(-3 , 1),(2 , 0)]` verify that
A(B + C) = AB + AC.
Choose the correct answer from the given four options :
If `x[(2),(3)] + y[(-1),(0)] = [(10),(6)]` then the values of x and y are
