Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If the square of the matrix `[(alpha, beta),(γ, - alpha)]` is the unit matrix of order 2, then α, β, and γ should
विकल्प
1 + α2 + βγ = 0
1 – α2 – βγ = 0
1 – α2 + βγ = 0
1 + α2 – βγ = 0
उत्तर
1 + α2 + βγ = 0
APPEARS IN
संबंधित प्रश्न
If A = `[(5, 4, 3),(1, -7, 9),(3, 8, 2)]` then find the transpose of A
Find the values of x, y and z from the following equation
`[(x + y + z),(x + z),(y + z)] = [(9),(5),(7)]`
Given that A = `[(1, 3),(5, -1)]`, B = `[(1, -1, 2),(3, 5, 2)]`, C = `[(1, 3, 2),(-4, 1, 3)]` verify that A(B + C) = AB + AC
Let A = `[(1, 2),(1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, 2)]` Show that A(BC) = (AB)C
Let A = `[(1, 2),(1, 3)]`, B = `[(4, 0),(1, 5)]`, C = `[(2, 0),(1, 2)]` Show that (A – B)C = AC – BC
Given A = `[("p", 0),(0, 2)]`, B = `[(0, -"q"),(1, 0)]`, C = `[(2, -2),(2, 2)]` and if BA = C2, find p and q.
Construct an m × n matrix A = [aij], where aij is given by
aij = `|3"i" - 4"j"|/4` with m = 3, n = 4
If A = `[(1, "a"),(0, 1)]`, then compute A4
Consider the matrix Aα = `[(cos alpha, - sin alpha),(sin alpha, cos alpha)]` Show that `"A"_alpha "A"_beta = "A"_((alpha + beta))`
Show that f(x) f(y) = f(x + y), where f(x) = `[(cosx, -sinx, 0),(sinx, cosx, 0),(0, 0, 1)]`
Construct the matrix A = [aij]3×3, where aij = 1 – j. State whether A is symmetric or skew–symmetric
Choose the correct alternative:
If aij = (3i – 2j) and A = [aij]3 × 2 is
Choose the correct alternative:
If A = `[(1, 2, 2),(2, 1, -2),("a", 2, "b")]` is a matrix satisfying the equation AAT = 9I, where I is 3 × 3 identity matrix, then the ordered pair (a, b) is equal to
Choose the correct alternative:
If A and B are symmetric matrices of order n, where (A ≠ B), then
Choose the correct alternative:
If A + I = `[(3, -2),(4, 1)]`, then (A + I)(A – I) is equal to
Let A = [aij] be a square matrix of order 3 such that aij = 2j – i, for all i, j = 1, 2, 3. Then, the matrix A2 + A3 + ... + A10 is equal to ______.
The total number of matrices formed with the help of 6 different numbers are ______.
