Construct a 2 x 3 matrix whose elements are given by a ij . = i + 2 j . - Wired Faculty

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Matrices

Question

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .

Solution

Let A = [a_ij] be required 2 x 3 matrix where a_ij = i + 2 j
$therefore$ a₁₁ = 1 + 2 = 3, a₁₂ = 1 + 4 = 5, a₁₃ = 1 + 6 = 7
a₂₁ = 2 + 2 = 4, a₂₂ = 2 + 4 = 6, a₂₃ = 2 + 6 = 8
$therefore space space space space space straight A equals open square brackets table row 3 5 7 row 4 6 8 end table close square brackets$

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Matrices

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .

Some More Questions From Matrices Chapter

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

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For Daily Free Study Material Join wiredfaculty

Matrices

Construct a 2 x 3 matrix whose elements are given by aij. = i + 2 j .

Some More Questions From Matrices Chapter

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .