Question

construct a 2×3 matrix whose elements in the e th row and j th column is given by: (i) aij= i+3j / 2 (ii) aij= 2i+3j / 2 (iii) aij= 3i+j / 2(iv) aij= 3i-j / 2​

Answer 1

Answer:

Let A = [aij] be required 2 x 3 matrix where aij = i + 2 j

therefore a11 = 1 + 2 = 3, a12 = 1 + 4 = 5, a13 = 1 + 6 = 7

a21 = 2 + 2 = 4, a22 = 2 + 4 = 6, a23 = 2 + 6 = 8

therefore space space space space space straight A equals open square brackets table row 3 5 7 row 4 6 8 end table close square brackets

Answer 2

Answer:

(i) [ 2 7/2 5

5/2 4 11/2]

ii [5/2 4 11/2

7/2 5 13/2 ]

iii [ 2 5/2 3

3 4 9/2]

iv [ 1 1/2 0

5/2 2 3/2 ]

Step-by-step explanation:

just put the value of i and j in the given equations

and hence match your answers .