Matrix exercise
Site: | eduvertex |
Course: | MATHS FOR JEE |
Book: | Matrix exercise |
Printed by: | Guest user |
Date: | Sunday, 19 May 2024, 1:55 AM |
1. Exercise 1
- If number of elements in a matrix is 60 then how many different order of matrix are possible -
(A) 12
(B) 6
(C) 24
(D) none of these - If
for the matrices and then is
(A) an odd multiple of
(B) an odd multiple of
(C) an even multiple of
(D) 0 - If
, then is equal to -
(A)
(B)
(C)
(D) none of these is a ( ) diagonal matrix having integral entries such that , number of such matrices is
(A) 360
(B) 390
(C) 240
(D) 270- If the product of
matrices is equal to the matrix then the value of is equal to -
(A) 26
(B) 27
(C) 377
(D) 378 - Matrix A has
rows and columns. Matrix has rows and columns. Both and exist, then -
(A)
(B)
(C)
(D) - If
, then
(A)
(B) diag
(C)
(D) B - If
and , then matrix is equal to -
(A)
(B)
(C)
(D) - Matrix
is such that , where is the identity matrix. The for
(A)
(B)
(C)
(D) - If
and , then -
(A)
(B)
(C)
(D)
- If
is a skew symmetric matrix such that , then is equal to -
(A)
(B) I
(C) - I
(D) - Suppose
is a matrix such that and , then is
(A) 127
(B) 511
(C) 1023
(D) 1024 - Which of the following is an orthogonal matrix -
(A)
(B)
(C)
(D) - Given
. If is a singular matrix then
(A)
(B)
(C)
(D) - If
is an orthogonal matrix , then is equal to -
(A)
(B)
(C)
(D) - If
and , then equals -
(A)
(B)
(C)
(D) is an involutary matrix given by then the inverse of will be
(A)
(B)
(C)
(D)and are two given matrices such that the order of is , if and are both defined then
(A) order ofis
(B) order ofis
(C) order ofis
(D) B'A is undefined- If
and , then
(A) 0
(B)
(C)
(D)