Construct a 2×3 matrix A=[aij] whose elements are given by aij=∣2i−3j∣

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Construct a 2 3 matrix A = [a_{ij}] whose elements are given

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Construct a $2 \times 3$ matrix $A = [a_{ij}]$ whose elements are given by $a_{ij} = ∣2 i - 3 j ∣$

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Construct a

2 \times 3

matrix

A = [a_{ij}]

whose elements are given by

a_{ij} = ∣2 i - 3 j ∣

8 mins ago

Discuss this question LIVE

8 mins ago

In general a

2 \times 3

matrix is given by

A = (a_{11} a_{21} a_{12} a_{22} a_{13} a_{23})

Now,

a_{ij} = ∣2 i - 3 j ∣

where i = 1, 2 and j = 1, 2, 3

a_{11} = ∣2 (1) - 3 (1) ∣ = ∣ - 1∣ = 1, a_{12} = ∣2 (1) - 3 (2) ∣ = 4, a_{13} = ∣2 (1) - 3 (3) ∣ = 7

a_{21} = ∣2 (2) - 3∣ = 1,

a_{22} = ∣2 (2) - 3 (2) ∣ = 2, a_{23} = ∣2 (2) - 9∣ = 5

Hence, the required matrix

A = (114275)

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