Class 12 ISC Maths Matrices Important Questions
Here we provide Class 12 Maths important questions,board questions and predicted questions with Answers for chapter Matrices. These important notes,board questions and predicted questions are based on ISC board curriculum and correspond to the most recent Class 12 Maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.
Q1
If(A - 2I) (A-3I) = O, where A = and I =
then find the value of x.
solutions
solutions
Q2
If f(x) = show that f(x) f(y) = f(x +
y).
solutions
solutions
Q3
If A = and A - 6A2 + 7A + kI
= O, then find the value of k and x = 0
solutions
solutions
Q4
If [2x 3] = O, find he value(s)
of x.
solutions
solutions
Q5
Find x, if [x -5 -1]
solutions
solutions
Q6
(i) For what value of x, is the matrix A = a
skew-symmetric matrix?
(ii) If the matrix is skew-symmetric, find the values of a, b and c.
solutions
(ii) If the matrix is skew-symmetric, find the values of a, b and c.
solutions
Q7
If A, B are square matrices of equal order and B is symmetric, then show that A'BA is also symmetric
solutions
solutions
Q8
If A, B are square matrices of equal order and B is a skew-symmetric matrix, then write whether the
matrix ABA' is symmetric or skew-symmetric.
solutions
solutions
Q9
If A is a square matrix and P is any square matrix of order equal to that of A, prove that P'AP
is symmetric
or skew-synmetric according as A is symmetric or skew-symmetric.
solutions
solutions
Q10
If
a matrix is both symmetric and skew-symmetric, then show that it is a null matrix
solutions
solutions
Q11
If A, B are symmetric matrices of same order, prove that AB - BA is a skew-symmetric
matrix
solutions
solutions
Q12
If A and B are square matrices of same order, then prove that AB'- BA' is a skew-symmetric
matrix.
solutions
solutions
Q13
Find 1/2 (A + A'), and 1/2 (A - A'), where A =
solutions
solutions
Q14
If A = then show that A2 -
3I = 2A.
solutions
solutions
Q15
Find the value of k if M = andd
M2 - kM - I2 = O.
solutions
solutions
Reach Us
SERVICES
- ACADEMIC
- ON-LINE PREPARATION
- FOUNDATION & CRASH COURSES
CONTACT
B-54, Krishna Bhawan, Parag Narain Road,
Near Butler Palace Colony Lucknow
Contact:+918081967119
Add a comment