Class 12 Maths CBSE Matrices Board Questions
Here we provide Class 12 maths important notes,board questions and predicted questions with Answers for chapter Matrices. These important notes,board questions and predicted questions are based on CBSE 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.
2016
Q1
Using elementary transformations, find the inverse of the matrix
use it to solve the following system of linear equations :
8x + 4y + 3z = 19
2x + y +z = 5
x + 2y + 2z = 7
solutions
use it to solve the following system of linear equations :
8x + 4y + 3z = 19
2x + y +z = 5
x + 2y + 2z = 7
solutions
Q2
The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and their monthly
expenditures are in the ratio 5 : 7. If each saves ₹15,000 per month, find their monthly
incomes using matrix method. This problem reflects which value ?
solutions
solutions
Q3
If A is a square matrix such that A2 = I, then find the simplified value of
(A -I)3 + (A + I)3 - 7A.
solutions
(A -I)3 + (A + I)3 - 7A.
solutions
Q4
Matrix
is given to be symmetric,find the values of a and b
solutions
is given to be symmetric,find the values of a and b
solutions
2017
Q1
Determine the product
and use it to solve the system of equations x — y + z = 4, x — 2y — 2z = 9, 2x + y + 3z = 1.
solutions
and use it to solve the system of equations x — y + z = 4, x — 2y — 2z = 9, 2x + y + 3z = 1.
solutions
Q2
Find matrix A such that
solutions
solutions
Q3
If A is a skew-symmetric matrix of order 3, then prove that det A = 0.
solutions
solutions
Q4
If for any 2 x 2 square matrix A,
, then write the value |A|
solutions
, then write the value |A|
solutions
2018
Q1
If
find A-1. Hence, solve the system of equations
x+y+z= 6, x + 2z = 7, 3x +y+z— 12.
OR
Find the inverse of the following matrix using elementary operations.
solutions
find A-1. Hence, solve the system of equations
x+y+z= 6, x + 2z = 7, 3x +y+z— 12.
OR
Find the inverse of the following matrix using elementary operations.
solutions
Q2
Find a matrix A such that 2A - 3B + 5C =O, where
and,
solutions
and,
solutions
Q3
If A and B are square matrices of the same order 3, such that |A|= 2 and AB=2I,
write the value of |B|.
solutions
solutions
Q1
2019
Q1
Given
,compute (AB)-1
OR
Find the inverse of the matrix
by using elementary row transformations
solutions
,compute (AB)-1
OR
Find the inverse of the matrix
by using elementary row transformations
solutions
Q2
If
be such that A-1=kA, then find the value of k.
solutions
be such that A-1=kA, then find the value of k.
solutions
Q3
If
is a matric satisfying AA'=9I,find x
solutions
is a matric satisfying AA'=9I,find x
solutions
2020
Q1
If
then find A-1 and use it to solve the following system of the equations :
x + 2y — 3z = 6
3x + 2y -2z =3
2x —y + z = 2
solutions
then find A-1 and use it to solve the following system of the equations :
x + 2y — 3z = 6
3x + 2y -2z =3
2x —y + z = 2
solutions
Q2
If A is a matrix of order 3 x 2, then the order of the matrix A' is _______.
OR
A square matrix A is said to be skew-symmetric, if ________
solutions
OR
A square matrix A is said to be skew-symmetric, if ________
solutions
Q2
If A is a square matrix of order 3 and |A| = 5, then the value of |2A'| is
(A) -10
(B) 10
(C) -40
(D) 40
If A is a square matrix such that A2 = A, then (I — A)3 is equal to
(A) I
(B) 0
(C) I-A
(D) I + A
solutions
(A) -10
(B) 10
(C) -40
(D) 40
If A is a square matrix such that A2 = A, then (I — A)3 is equal to
(A) I
(B) 0
(C) I-A
(D) I + A
solutions
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