Construct a 2 × 2 matrix A = [ai j] whose elements ai j are given by ai j = (i – 2j)2 /2

Question

Construct a 2 × 2 matrix A = \( [a_{i j}]\) whose elements \( a_{i j}\) are given by \( a_{i j} = \dfrac{(i – 2j)^2} {2}\)

Asked by Aaryan | 1 year ago | 75

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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

Class 12 Maths Matrices View Answer

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 \( a_{i j} =\dfrac{ (i – 2j)^2}{2}\)

Let A = [a_{i j}]_2×2

So, the elements in a 2 × 2 matrix are

a₁₁, a₁₂, a₂₁, a₂₂

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 35

a₁₁= 0.5

a₁₂= 4.5

a₂₁= 0

a₂₂=2

Substituting these values in matrix A we get,

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 40

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 41

Answered by Aaryan | 1 year ago