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

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


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