Question

Construct a 2 x 2 matrix whose elements are this​

Answer 1

Construct a 2×2 matrix

A=[a

ij

] whose elements a

ij

are given by

∣

∣

∣

∣

∣

2

3i−j

∣

∣

∣

∣

∣

solution: Since it is a 2×2 matrix

It will here 2 rows & 2 columns

Let the matrix be A

A=[

a

11

a

21

a

12

a

22

]

Given, a

ij

=

2

∣3i−j∣

For a

11

;i=1,j=1

a

11

=

2

∣3×1−1∣

=1

For a

12

,i=1,j=2

a

12

=

2

∣3×1−2∣

=

2

1

For a

21

, i=2,j=1

a

21

=

2

∣3×2−1∣

=

2

5

For a

22

;i=2,j=2

a

22

=

∣

∣

∣

∣

∣

2

3×2−2

∣

∣

∣

∣

∣

=2

Required matrix a=[

1

5/2

1/2

2

].

Answer 2

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