Construct a 2×2 matrix A=[aij], whose elements aij are given by aij={2∣−3i+j∣, (i+j)2, if i=j if i=j

Given for a 2×2 matrix A=[aij], whose elements aij are given by aij={2∣−3i+j∣, (i+j)2, if i=j if i=jNow,a11=(1+1)2=4, a12=21, a21=25 and a22=(2+2)2=16.So,A=⎣⎡4252116⎦⎤.

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Construct a 2 2 matrix A = [a_{ij}], whose elements a_{ij} are

Question

Construct a $2 \times 2$ matrix $A = [a_{ij}]$ , whose elements $a_{ij}$ are given by $a_{ij} = {\frac{∣ - 3 i + j ∣}{2}, (i + j)^{2}, if i \neq = j if i = j$

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Construct a

2 \times 2

matrix

A = [a_{ij}]

, whose elements

a_{ij}

are given by

a_{ij} = {\frac{∣ - 3 i + j ∣}{2}, (i + j)^{2}, if i \neq = j if i = j

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Text solutionVerified

Given for a

2 \times 2

matrix

A = [a_{ij}]

, whose elements

a_{ij}

are given by

a_{ij} = {\frac{∣ - 3 i + j ∣}{2}, (i + j)^{2}, if i \neq = j if i = j

Now,

a_{11} = (1 + 1)^{2} = 4

a_{12} = \frac{1}{2}

a_{21} = \frac{5}{2}

and

a_{22} = (2 + 2)^{2} = 16

So,

A = ⎣ ⎡ 4 \frac{5}{2} \frac{1}{2} 16 ⎦ ⎤

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Question Text	Construct a $2 \times 2$ matrix $A = [a_{ij}]$ , whose elements $a_{ij}$ are given by $a_{ij} = {\frac{∣ - 3 i + j ∣}{2}, (i + j)^{2}, if i \neq = j if i = j$
Answer Type	Text solution:1
Upvotes	150

Construct a 2×2 matrix A=[aij​], whose elements aij​ are given by aij​={2∣−3i+j∣​, (i+j)2, ​ if i=j if i=j​

Text solutionVerified

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Construct a $2 \times 2$ matrix $A = [a_{ij}]$ , whose elements $a_{ij}$ are given by $a_{ij} = {\frac{∣ - 3 i + j ∣}{2}, (i + j)^{2}, if i \neq = j if i = j$