what can you do as student to check overutilisation
Answers
Answer:
. In the matrix A = , write:
(i) The order of the matrix.
(ii) The number of elements.
(iii) Write the elements
Ans. (i) There are 3 horizontal lines (rows) and 4 vertical lines (columns) in the given matrix A.
Therefore, Order of the matrix is 3 x 4.
(ii) The number of elements in the matrix A is 3 x 4 = 12.
(iii) Element in first row and third column = 19
Element in second row and first column = 35
Element in third row and third column =
Element in second row and fourth column = 12
Element in second row and third column =
NCERT Solutions class 12 Maths Exercise 3.1
2. If a matrix has 24 elements, what are possible orders it can order? What, if it has 13 elements?
Ans. Since, a matrix having element is of order
(i) Therefore, there are 8 possible matrices having 24 elements of orders 1 x 24, 2 x 12, 3 x 8, 4 x 6, 24 x 1, 12 x 2, 8 x 3, 6 x 4.
(ii) Prime number 13 = 1 x 13 and 13 x 1
Therefore, there are 2 possible matrices of order 1 x 13 (Row matrix) and 13 x 1 (Column matrix).
3. If a matrix has 18 elements, what are the possible orders it can have? What if has 5 elements?
Ans. Since, a matrix having element is of order
(i) Therefore, there are 6 possible matrices having 18 elements of orders 1 x 18, 2 x 9, 3 x 6, 18 x 1, 9 x 2, 6 x 3.
(ii) Prime number 5 = 1 x 5 and 5 x 1
Therefore, there are 2 possible matrices of order 1 x 5 (Row matrix) and 5 x 1 (Column matrix).
NCERT Solutions class 12 Maths Exercise 3.1
4. Construct a 2 x 2 matrix A = whose elements are given by:
(i)
(ii)
(iii)
Ans. (i) Given: ……….(i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
A2 x 2 =
(ii) Given: ……….(i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
A2 x 2 =
(iii) Given: ……….(i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
Putting in eq. (i)
A2 x 2 =