NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.2 are part of NCERT Solutions for Class 12 Maths . Here we have given NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.2.
|Number of Questions Solved||22|
NCERT Solutions for Class 12 Maths Chapter 3 Matrices Ex 3.2
Find each of the following:
(i) A + B
(ii) A – B
(iii) 3A – C
(i) A + B
Compute the following:
Compute the indicated products.
then compute (A + B) and (B – C). Also verify that A + (B – C) = (A + B) – C.
then compute 3A – 5B.
Find X and Y if
We are given that
Find x and y, if
=> 2+y = 5 and 2x+2 = 8
=> y=3 and x=3
Hence x=3 and y=3
Solve the equation for x,y,z and t, if
If then find the values of x and y
find the values of x,y,z and w.
=> 3x = x + 4 => x = 2
and 3y = 6 + x + y => y = 4
Also, 3w = 2w + 3 => w = 3
Again, 3z = – 1 + z + w
=> 2z = – 1 + 3
=> 2z = 2
=> z = 1
Hence x = 2 ,y = 4, z = 1, w = 3.
If F(x) =
then show that F(x).F(y) = F(x+y)
∴ F(y) =
Find A² – 5A + 6I, if A =
A² – 5A + 6I =
If A = Prove that A³-6A²+7A+2I = 0
A² = A x A
If then find k so that A²=kA-2I
Required: To find the value of k
If and I is the identity matrix of order 2,show that
A trust has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year and second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bond if the trust fund obtains an annual total interest of
(a) Rs 1800
(b) Rs 2000
Let Rs 30,000 be divided into two parts and Rs x and Rs (30,000-x)
Let it be represented by 1 x 2 matrix [x (30,000-x)]
Rate of interest is 005 and 007 per rupee.
It is denoted by the matrix R of order 2 x 1.
The book-shop of a particular school has 10 dozen Chemistry books, 8 dozen Physics books, 10 dozen Economics books. Their selling price are Rs 80, Rs 60 and Rs 40 each respectively. Find die total amount the book-shop will receive from selling all the books using matrix algebra.
Number of Chemistry books = 10 dozen books
= 120 books
Number of Physics books = 8 dozen books = 96 books
Number of Economics books = 10 dozen books
= 120 books
Assuming X, Y, Z, W and P are the matrices of order 2 x n, 3 x k, 2 x p, n x 3 and p x k respectively. Choose the correct answer in Question 21 and 22.
The restrictions on n, k and p so that PY + WY will be defined are
(a) k = 3 ,p = n
(b) k is arbitrary,p = 2
(c) pis arbitrary, k = 3
(d) k = 2,p = 3
Given : x2xn, y3xn, z2xp, wnx3, Ppxk
Now py +wy = Ppxk x y3+k x wnx3 x y3xk
Clearly, k = 3 and p = n
Hence, option (a) is correct p x 2.
If n = p, then the order of the matrix 7X – 5Z is:
(a) p x 2
(b) 2 x n
(c) n x 3
(d) p x n.
7X – 5Z = 7X2xn – 5X2xp
∴ We can add two matrices if their order is same n = P
∴ Order of 7X – 5Z is 2 x n.
Hence, option (b) is correct 2 x n.
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