Construct a 2×2 matrix A=[aij], whose element aij is aij=2∣−3i+j∣.

Let A=[aij] be a 2×2 matrix such that aij=2∣−3i+j∣. Then,a11=2∣−3+1∣=1,a12=2∣−3+2∣=21,a21=2∣−6+1∣=25,a22=2∣−6+2∣=2∴=[a11 a21 a12a22]= [1 5/2 1/22]

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Construct a 2 2 matrix A = [a_{ij}], whose element a_{ij} is a

Question

Construct a $2 \times 2$ matrix $A = [a_{ij}]$ , whose element $a_{ij}$ is $a_{ij} = \frac{∣ - 3 i + j ∣}{2}$ .

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Eleanor Discussed

Construct a

2 \times 2

matrix

A = [a_{ij}]

, whose element

a_{ij}

a_{ij} = \frac{∣ - 3 i + j ∣}{2}

7 mins ago

Discuss this question LIVE

7 mins ago

Let

A = [a_{ij}]

be a

2 \times 2

matrix such that

a_{ij} = \frac{∣ - 3 i + j ∣}{2}

. Then,

a_{11} = \frac{∣ - 3 + 1∣}{2} = 1, a_{12} = \frac{∣ - 3 + 2∣}{2} = \frac{1}{2}, a_{21} = \frac{∣ - 6 + 1∣}{2} = \frac{5}{2}, a_{22} = \frac{∣ - 6 + 2∣}{2} = 2

∴ = [a_{11} a_{21} a_{12} a_{22}] = [1 5/2 1/2 2]

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Question Text	Construct a $2 \times 2$ matrix $A = [a_{ij}]$ , whose element $a_{ij}$ is $a_{ij} = \frac{∣ - 3 i + j ∣}{2}$ .
Answer Type	Text solution:1
Upvotes	150