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NCERT Class 12- Mathematics: Exemplar Chapter β 3 Matrices Part 5
3.3 EXERCISE
Short Answer (S. A)
Question 1:
If a matrix has elements, what are the possible orders it can have? What if it has elements?
Answer:
. If matrix has elements then its order will be either or .
Question 2:
In the matrix , write
(i) The order of the matrix A
(ii) The number of elements
(iii) Write elements
Answer:
(i)
(ii)
(iii)
Question 3:
Construct matrix where
(i)
(ii)
Answer:
(i)
(ii)
Question 4:
Construct a matrix whose elements are given by
Answer:
Question 5:
Find values of and if , where
Answer:
Also,
By equality of matrices we know that each element of A is equal to the corresponding element of that is for all and .
And
Question 6:
If possible, find the sum of the matrices A and B, where
Answer:
Here, A and B are of different orders. Also, we know that addition of two matrices A and B is possible only if order of both the matrices A and B should be same.
Hence, the sum of matrices A and B is not possible.
Question 7:
If
(i)
(ii)
(iii) A matrix Z such that is a zero matrix.
Answer:
(i)
(ii)
And
(iii)
Also,
We see that Z is the additive inverse of or negative of