Matrices NCERT Solutions

NCERT Exercise 3.1

Solution: Given

`A=[(2,5,19,-7),(35,-2,5/2,12),(sqrt3,1,-5,17)]`

(i) Here there is 3 rows and 4 columns hence

Order of matrix rox `xx` column `=3xx4`

(ii) Total number of element `3xx4=12`

(iii)`a_13=19,\ a_21=35,` `a_33=-5,\ a_24=12,` `a_23=5/2`

Question:2: If a matrix has 24 elements, What are the possible orders it can have? What, if it has 13 elements.

Solution:

If matrix has 24 elements then order of matrix then possible orders are

1x24, 2x12, 3x8, 4x6, 6x4, 8x3, 12x2, 24x1

Possible order of matrix; if it has 13 elements are 1x13, 13x1

Question- 3- If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

Answer – Matrix has 18 elements then

Possible orders are follows

1x18, 2x9, 3x6, 9x2, 18x1

The possible order of matrix having 5 elements are

1x5 and 5x1

Question: 4: Construct a 2x2 matrix, A =[a_ij] whose elements are given by:

Solution:

Solution:

Question :5: Construct 3x4 matrix, whose elements are given by

Solution:

12-math-home

Reference: