construct a 2×3matrix whose elements are aij=i²j²
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Answer: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
].
Step-by-step explanation:
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