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

If for any 2 x 2 square matrix A, `A("adj"  "A") = [(8,0), (0,8)]`, then write the value of |A|


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

`[(x + y, 2),(5 + z, xy)] = [(6, 2), (5, 8)]`


Using coding matrix A=`[(2,1),(3,1)]` encode the message THE CROW FLIES AT MIDNIGHT.


Find the non-singular matrices P & Q such that PAQ is in normal form where`[(1,2,3,4),(2,1,4,3),(3,0,5,-10)]`

 


If\[A = \begin{bmatrix}2 & 3 \\ 4 & 5\end{bmatrix}\]prove that A − AT is a skew-symmetric matrix.


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


if  `vec"a"= 2hat"i" + 3hat"j"+ hat"k", vec"b" = hat"i" -2hat"j" + hat"k" and vec"c" = -3hat"i" + hat"j" + 2hat"k", "find" [vec"a" vec"b" vec"c"]`


Find k if the following matrix is singular:

`[(7, 3),(-2, "k")]`


The following matrix, using its transpose state whether it is symmetric, skew-symmetric, or neither:

`[(2, 5, 1),(-5, 4, 6),(-1, -6, 3)]`


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:

Given A = `[(1, 3),(2, 2)]`, I = `[(1, 0),(0, 1)]` if A – λI is a singular matrix then _______


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.


Choose the correct alternative:

If A = `[(2, 0),(0, 2)]`, then A2 – 3I = ______


State whether the following statement is True or False:

If A and B are two square matrices such that AB = BA, then (A – B)2 = A2 – 2AB + B2 


If A is a square matrix of order 2 such that A(adj A) = `[(7, 0),(0, 7)]`, then |A| = ______


If A = `[(3, -4),(1, 1),(2, 0)]` and B = `[(2, 1, 2),(1, 2, 4)]`, then verify (BA)2 ≠ B2A2 


Given A = `[(2, 4, 0),(3, 9, 6)]` and B = `[(1, 4),(2, 8),(1, 3)]` is (AB)′ = B′A′? 


A square matrix A = [aij]nxn is called a diagonal matrix if aij = 0 for ____________.


If the matrix A `= [(5,2,"x"),("y",2,-3),(4, "t",-7)]` is a symmetric matrix, then find the value of x, y and t respectively.


If `[(1,2),(3,4)],` then A2 - 5A is equal to ____________.


`root(3)(4663) + 349` = ? ÷ 21.003


A matrix is said to be a column matrix if it has


A matrix is said to be a row matrix, if it has


The number of all possible matrices of order 3/3, with each entry 0 or 1 is


Find X, If `[X - 5 - 1] [(1, 0, 2),(0, 2, 1),(2, 0, 3)][(x),(4),(1)] ` = 0


Let A and B be 3 × 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the systems of linear equations (A2B2 – B2A2)X = O, where X is a 3 × 1 column matrix of unknown variables and O is a 3 × 1 null matrix, has ______.


If A = `[(0, -tan  θ/2),(tan  θ/2, 0)]` and (I2 + A) (I2 – A)–1 = `[(a, -b),(b, a)]` then 13(a2 + b2) is equal to ______. 


Assertion: Let the matrices A = `((-3, 2),(-5, 4))` and B = `((4, -2),(5, -3))` be such that A100B = BA100

Reason: AB = BA implies AB = BA for all positive integers n.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×