Page No 64:
Question 1:
In the matrix
, write:
(i) The order of the matrix (ii) The number of elements,
(iii) Write the elements a13, a21, a33, a24, a23
Page No 64:
Question 2:
If a matrix has 24 elements, what are the possible order it can have? What, if it has 13 elements?
Page No 64:
Question 3:
If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?
Page No 64:
Question 6:
Find the value of x, y, and z from the following equation:
(i) 
(ii) 
(iii) 
Page No 65:
Question 9:
Which of the given values of x and y make the following pair of matrices equal
(A) 
(B) Not possible to find
(C) 
(D) 
Page No 65:
Question 10:
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is:
(A) 27
(B) 18
(C) 81
(D) 512
Page No 82:
Question 19:
A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of:
(a) Rs 1,800 (b) Rs 2,000
Page No 83:
Question 21:
Assume X, Y, Z, W and P are matrices of order
, and 
respectively. The restriction on n, k and p so that 
will be defined are:
A. k = 3, p = n
B. k is arbitrary, p = 2
C. p is arbitrary, k = 3
D. k = 2, p = 3
Page No 89:
Question 7:
(i) Show that the matrix 
is a symmetric matrix
(ii) Show that the matrix 
is a skew symmetric matrix
Page No 89:
Question 8:
For the matrix
, verify that
(i) 
is a symmetric matrix
(ii) 
is a skew symmetric matrix
Page No 89:
Question 10:
Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
(i) 
(ii) 
(iii) 
(iv) 
Page No 101:
Question 10:
A manufacturer produces three products x, y, z which he sells in two markets.
Annual sales are indicated below:
Market | Products | ||
I | 10000 | 2000 | 18000 |
II | 6000 | 20000 | 8000 |
Page No 101:
Question 13:
Choose the correct answer in the following questions:
If 
is such that 
then
A. 
B. 
C. 
D. 
, whose elements are given by:
(ii) 
(ii) 
(iii) 
(v) 
(ii) 
and
and
and 
if
, prove that 
and
, find k so that 
and I is the identity matrix of order 2, show that 
(ii) 
(iii) 
and
, then verify that
and
, then verify that
and
, then find 
where
, then verify that 
, then verify that 
and
, when 
, show that
, where I is the identity matrix of order 2 and n ∈ N
, prove that 
, then prove 
where n is any positive integer
satisfy the equation 
?
, show that 
