Construct a 3×4 matrix A = [ai j] whose elements ai j are given by ai j = i – j

Question

Construct a 3×4 matrix A = [a_{i j}] whose elements a_{i j} are given by a_{i j} = i – j

Asked by Aaryan | 1 year ago | 46

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Class 12 Maths Matrices Add Answer

Find the values of a, b, c and d from the equations:

Class 12 Maths Matrices View Answer

Class 12 Maths Matrices View Answer

Class 12 Maths Matrices View Answer

Construct a 4 × 3 matrix A = [a_{i j}] whose elements a_{i j} are given by a_{i j} = i

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Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by \( a_{i j} = \dfrac{(i – j)}{(i + j)}\)

Class 12 Maths Matrices View Answer

Accepted Answer

Given a_{i j} = i – j

Let A = [a_{i j}]_2×3

So, the elements in a 3×4 matrix are

a₁₁, a₁₂, a₁₃, a_14, a₂₁, a₂₂, a₂₃, a₂₄, a_31,a_32,a_33,a₃₄

a₁₁ = 1 – 1 = 0

a₁₂ = 1 – 2 = – 1

a₁₃ = 1 – 3 = – 2

a₁₄ = 1 – 4 = – 3

a₂₁ = 2 – 1 = 1

a₂₂ = 2 – 2 = 0

a₂₃ = 2 – 3 = – 1

a_{24 =} 2 – 4 = – 2

a₃₁ = 3 – 1 = 2

a₃₂ = 3 – 2 = 1

a₃₃ = 3 – 3 = 0

a₃₄ = 3 – 4 = – 1

Substituting these values in matrix A we get,

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 74

Answered by Aaryan | 1 year ago