मराठी

If A and B are any two matrices of the same order, then (AB)′ = A′B′. - Mathematics

Advertisements
Advertisements

प्रश्न

If A and B are any two matrices of the same order, then (AB)′ = A′B′.

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर

उत्तर

This statement is False.

Explanation:

Since (AB)' = B'A'.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Matrices - Exercise [पृष्ठ ६४]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 3 Matrices
Exercise | Q 95 | पृष्ठ ६४

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

If A`((3,5),(7,9))`is written as A = P + Q, where P is a symmetric matrix and Q is skew symmetric matrix, then write the matrix P.

 


if `A = [(-1,2,3),(5,7,9),(-2,1,1)] and B = [(-4,1,-5),(1,2,0),(1,3,1)]` then verify that (A- B)' = A' - B'


For the matrices A and B, verify that (AB)′ = B'A' where `A =[(1),(-4), (3)], B = [-1, 2  1]`


For the matrix A = `[(1,5),(6,7)]` verify that (A + A') is a symmetric matrix.


For the matrix A = `[(1,5),(6,7)]` verify that (A - A') is a skew symmetric matrix.


Express the following matrices as the sum of a symmetric and a skew symmetric matrix:

`[(3,5),(1,-1)]`


Show that the matrix B'AB is symmetric or skew symmetric according as A is symmetric or skew symmetric.


Find the values of x, y, z if the matrix `A = [(0,2y,z),(x,y,-z),(x , -y,z)]` satisfy the equation A'A = I.


If A and B are symmetric matrices of the same order, write whether AB − BA is symmetric or skew-symmetric or neither of the two.


If A = [aij] is a square matrix of even order such that aij = i2 − j2, then 


If A and B are matrices of the same order, then ABT − BAT is a 


The matrix  \[A = \begin{bmatrix}0 & - 5 & 8 \\ 5 & 0 & 12 \\ - 8 & - 12 & 0\end{bmatrix}\] is a 

 

The matrix   \[A = \begin{bmatrix}1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{bmatrix}\] is

 


If A = `[(0, 1),(1, 1)]` and B = `[(0, -1),(1, 0)]`, show that (A + B)(A – B) ≠ A2 – B2 


If the matrix `[(0, "a", 3),(2, "b", -1),("c", 1, 0)]`, is a skew symmetric matrix, find the values of a, b and c.


If A and B are matrices of same order, then (AB′ – BA′) is a ______.


Sum of two skew-symmetric matrices is always ______ matrix.


If A is a skew-symmetric matrix, then A2 is a ______.


If A is symmetric matrix, then B′AB is ______.


If A is skew-symmetric matrix, then A2 is a symmetric matrix.


If P is of order 2 x 3 and Q is of order 3 x 2, then PQ is of order ____________.


If A and B are symmetric matrices of the same order, then ____________.


If A and B are symmetric matrices of the same order, then ____________.


The diagonal elements of a skew symmetric matrix are ____________.


If A, B are Symmetric matrices of same order, then AB – BA is a


If ax4 + bx3 + cx2 + dx + e = `|(2x, x - 1, x + 1),(x + 1, x^2 - x, x - 1),(x - 1, x + 1, 3x)|`, then the value of e is ______.


Number of symmetric matrices of order 3 × 3 with each entry 1 or – 1 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×
Our website is made possible by ad-free subscriptions or displaying online advertisements to our visitors.
If you don't like ads you can support us by buying an ad-free subscription or please consider supporting us by disabling your ad blocker. Thank you.