हिंदी

If A = [5xy0] and A = AT, where AT is the transpose of the matrix A, then ______.

Advertisements
Advertisements

प्रश्न

If A = `[(5, x),(y, 0)]` and A = AT, where AT is the transpose of the matrix A, then ______.

विकल्प

  • x = 0, y = 5

  • x = y

  • x + y = 5

  • x = 5, y = 0

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

If A = `[(5, x),(y, 0)]` and A = AT, where AT is the transpose of the matrix A, then x = y.

Explanation:

A = AT

`[(5, x),(y, 0)] = [(5, y),(x, 0)]`

`\implies` x = y.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2022-2023 (March) Delhi Set 3

वीडियो ट्यूटोरियलVIEW ALL [2]

संबंधित प्रश्न

Find the value of x, y, and z from the following equation:

`[(x + y + z), (x + z), (y + z)] = [(9), (5), (7)]`


`A = [a_(ij)]_(m xx n)` is a square matrix, if ______.


if `A = [(3,-4),(1,-1)]` then prove A"=` [(1+2n, -4n),(n, 1-2n)]` where n is any positive integer


If A is a square matrix such that A2 = A, then (I + A)3 – 7A is equal to ______.


Given `A = [(2,-3),(-4,7)]` compute `A^(-1)` and show that `2A^(-1) = 9I - A`


Show that a matrix A = `1/2[(sqrt2,-isqrt2,0),(isqrt2,-sqrt2,0),(0,0,2)]` is unitary.


Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`


If A and B are square matrices of the same order 3, such that ∣A∣ = 2 and AB = 2I, write the value of ∣B∣.


Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:

`[(0, 0, 1),(0, 1, 0),(1, 0, 0)]`


Find x, y, z If `[(0, -5"i", x),(y, 0, z),(3/2, -sqrt(2), 0)]` is a skew symmetric matrix.


If A = `[(1, 2, 2),(2, 1, 2),(2, 2, 1)]`, Show that A2 – 4A is a scalar matrix 


If A = `[(1, 0),(-1, 7)]`, find k so that A2 – 8A – kI = O, where I is a unit matrix and O is a null matrix of order 2.


Select the correct option from the given alternatives:

If A and B are square matrices of equal order, then which one is correct among the following?


Answer the following question:

If A = `[(1, 2),(3, 2),(-1, 0)]` and B = `[(1, 3, 2),(4, -1, -3)]`, show that AB is singular.


State whether the following statement is True or False:

If `[(3, 0),(0, 2)][(x),(y)] = [(3),(2)]`, then x = 1 and y = – 1


Show by an example that for A ≠ O, B ≠ O, AB = O


If A is a square matrix, then A – A’ is a ____________.


If a matrix A is both symmetric and skew-symmetric, then ____________.


The matrix A `=[(0,1),(1,0)]` is a ____________.


A = `[a_(ij)]_(m xx n)` is a square matrix, if


If D = `[(0, aα^2, aβ^2),(bα + c, 0, aγ^2),(bβ + c, (bγ + c), 0)]` is a skew-symmetric matrix (where α, β, γ are distinct) and the value of `|((a + 1)^2, (1 - a), (2 - c)),((3 + c), (b + 2)^2, (b + 1)^2),((3 - b)^2, b^2, (c + 3))|` is λ then the value of |10λ| is ______.


If A and B are square matrices of order 3 × 3 and |A| = –1, |B| = 3, then |3AB| equals ______.


If `[(1, 2, 1),(2, 3, 1),(3, a, 1)]` is non-singular matrix and a ∈ A, then the set A is ______.


What is the order of a column matrix with \[m\] rows?


A matrix with only one row is called a:


Which condition defines an identity matrix?


What happens when any matrix is multiplied by an identity matrix?


What role does the zero matrix play in matrix algebra?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×