Advertisements
Advertisements
प्रश्न
Verify that A2 = I when A = `[(5, -4),(6, -5)]`
उत्तर
A = `[(5, -4),(6, -5)]`
A2 = `[(5, -4),(6, -5)] xx [(5, -4),(6, -5)]`
= `[(25 - 24, -20 + 20),(30 - 30, -24 + 25)]`
= `[(1, 0),(0, 1)]`= I
A2 = I
∴ L.H.S. = R.H.S.
APPEARS IN
संबंधित प्रश्न
Find the values of x, y, z if `[(x), (y – z), (z + 3)] + [(y), (4), (3)] = [(4), (8), (16)]`
Find the non-zero values of x satisfying the matrix equation
`x[(2x, 2),(3, x)] + 2[(8, 5x),(4, 4x)] = 2[(x^2 + 8, 24),(10, 6x)]`
Construct an m × n matrix A = [aij], where aij is given by
aij = `|3"i" - 4"j"|/4` with m = 3, n = 4
Consider the matrix Aα = `[(cos alpha, - sin alpha),(sin alpha, cos alpha)]` Show that `"A"_alpha "A"_beta = "A"_((alpha + beta))`
Consider the matrix Aα = `[(cos alpha, - sin alpha),(sin alpha, cos alpha)]` Find all possible real values of α satisfying the condition `"A"_alpha + "A"_alpha^"T"` = I
If A = `[(4, 2),(-1, x)]` and such that (A – 2I)(A – 3I) = 0, find the value of x
Give your own examples of matrices satisfying the following conditions:
A and B such that AB = 0 = BA, A ≠ 0 and B ≠ 0
Choose the correct alternative:
If A and B are symmetric matrices of order n, where (A ≠ B), then
Choose the correct alternative:
If a ≠ b, b, c satisfy `|("a", 2"b", 2"c"),(3, "b", "c"),(4, "a", "b")|` = 0, then abc =
Let A = `[(cosα, -sinα),(sinα, cosα)]`, α ∈ R such that A32 = `[(0, -1),(1, 0)]`. Then a value of α is ______.