Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j

Solution

Let A = [ a_ii] be required 3 x 4 matrix where a_ij= i.j
_{$therefore space space space$}a₁₁ = 1 . 1 = 1, a₁₂ =1 . 2 = 2, a₁₃ = 1 . 3 = 3, a₁₄ = 1 . 4 = 4
a₂₁ = 2 . 1 = 2, a₂₂ =2 . 2 = 4, a₂₃= 2 . 3 = 6, a₂₄ = 2 . 4 = 8
a₃₁ = 3 . 1 = 3, a₃₂ =3 . 2 = 6, a₃₃= 3 . 3 = 9, a₃₄ = 3 . 4 = 12
$therefore space space space straight A equals open square brackets table row 1 2 3 4 row 2 4 6 8 row 3 6 9 12 end table close square brackets$

Some More Questions From Matrices Chapter

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Matrices

Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j

Some More Questions From Matrices Chapter

If a matrix has 8 elements, what arc the possible orders it can have ?

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

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 3 x 4 matrix whose elements areai j = i.j

Some More Questions From Matrices Chapter

If a matrix has 8 elements, what arc the possible orders it can have ?

If a matrix has 24 elements, what are the possible orders it can have? What, if it has 13 elements?

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 3 x 4 matrix whose elements are

a_{i j} = i.j