Class12 ISC Chapter Matrices Exercise 3.1

Class XII ISC Maths Chapter Matrices Exercise 3.1

Explore our extensive collection of questions on the topic of "Matrices," designed to help you master this fundamental concept in mathematics. Our question bank covers a wide range of topics, including matrix operations, types of matrices, determinants, inverses, and applications of matrices in solving linear equations. These practice questions are perfect for students aiming to build a strong foundation in matrices and excel in their exams. Whether you're studying for class or looking to enhance your understanding, our curated collection offers the ideal resource for mastering "Matrices."

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Matrices

x+3	4
y-4	x+y

x+2y	-y
3x	4

x+3y	y
7-x	4

x-y	2
x	5

Class XII ISC Maths Chapter Matrices Exercise 3.1

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Q1 If A is a matrix of type p x q and R is a row of A, then what is the type of R as a matrix ?

Q2 If A is a column matrix with 5 rows, then what type of matrix is a row of A?

Q3 If A is a column matrix with 5 rows, then what type of matrix is a row of A? If a matrix has 8 elements, what are the possible orders it can have?

Q4 If a matrix has 18 elements, what the possible orders it can have? What, if it has 11 elements?

Q5 If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

Q7 Construct a 2 x 2 matrix A = [aij] whose elements aij are given by:

(i) aij=2i-j

(ii) aij= (i-2j)2 / 2

(iii) aij=|2i-3j|

Q8 Construct a 2 x 3 matrix B = [bij] whose elements bij are given by:

(i) bij=i-3j

(ii) bij=(i+2j)2

Q9(i) If x+3 4 y-4 x+y = 5 4 3 9 ,find x and y

Q9(ii) If x+2y -y 3x 4 = -4 3 6 4 ,find the values of x and y

Q9(iii) If x+3y y 7-x 4 = 4 -1 0 4 ,find the values of x and y

Q9(iv) Find the value of y, if x-y 2 x 5 = 2 2 3 5

Q9(v) Find the value of x,if 3x+y -y 2y-x 3 = 1 2 -5 3

Q9(vi) Find the value of x, if 2x-y 5 3 y = 6 5 3 -2

Q9(vii) If x+2y 3y 4x 2 = 0 -3 8 2 ,find the value of (x -y)

Q9(viii) If x-y z 2x-y w = -1 4 0 5 ,find the value of (x+y)

Q9(ix) If x+y x+2 2x-y 16 = 8 5 1 3y+1 ,then write the value of (y -x)

Q10 Write the value of x -y +z from the following equation : x+y+z x+z y+z = 9 5 7

Q11 If x 3x-y 2x+z 3y-w = 3 2 4 7 ,find x, y, z and w

Q12 Find the values of a, b, c and d from the following equations: 2a+b a-2b 5c-d 4c+3d = 4 -3 11 24

Q13 Find x, y, a and b if 2x-3y a-b 3 1 x+4y 3a+4b = 1 -2 3 1 6 29

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Q3

If A is a column matrix with 5 rows, then what type of matrix is a row of A?

If a matrix has 8 elements, what are the possible orders it can have?

Q7 Construct a 2 x 2 matrix A = [a_ij] whose elements a_ij are given by:

(i) a_ij=2i-j

(ii) a_ij=
(i-2j)₂ / 2

(iii) a_ij=|2i-3j|

Q8 Construct a 2 x 3 matrix B = [b_ij] whose elements b_ij are given by:

(i) b_ij=i-3j

(ii) b_ij=(i+2j)²

Q9(i) If

x+3 4

y-4 x+y

=

5 4

3 9

,find x and y

Q9(ii) If

x+2y -y

3x 4

=

-4 3

6 4

,find the values of x and y

Q9(iii) If

x+3y y

7-x 4

=

4 -1

0 4

,find the values of x and y

Q9(iv) Find the value of y, if

x-y 2

x 5

=

2 2

3 5

Q9(v) Find the value of x,if

3x+y -y

2y-x 3

=

1 2

-5 3

Q9(vi) Find the value of x, if

2x-y 5

3 y

=

6 5

3 -2

Q9(vii) If

x+2y 3y

4x 2

=

0 -3

8 2

,find the value of (x -y)

Q9(viii) If

x-y z

2x-y w

=

-1 4

0 5

,find the value of (x+y)

Q9(ix) If

x+y x+2

2x-y 16

=

8 5

1 3y+1

,then write the value of (y -x)

Q10 Write the value of x -y +z from the following equation :

x+y+z

x+z

y+z

=

9

5

7

Q11 If

x 3x-y

2x+z 3y-w

=

3 2

4 7

,find x, y, z and w

Q12 Find the values of a, b, c and d from the following equations:

2a+b a-2b

5c-d 4c+3d

=

4 -3

11 24

Q13 Find x, y, a and b if

2x-3y a-b 3

1 x+4y 3a+4b

=

1 -2 3

1 6 29