Construct a 2 × 2 matrix A = [ai j] whose elements ai j are given by ai j = |2i – 3j|/2

Question

Construct a 2 × 2 matrix A = \( [a_{i j}]\) whose elements \( a_{i j }\)are given by \( a_{i j} = \dfrac{|2i – 3j|}{2}\)

Asked by Aaryan | 1 year ago | 61

0 0

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 \( a_{i j} =\dfrac{ |2i – 3j|}{2}\)

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 49

a₁₁ = 0.5

a₁₂= 2

a₂₁= 0.5

a₂₂= 1

Substituting these values in matrix A we get,

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 54

RD Sharma Solutions for Class 12 Maths Chapter 5 Image 55

Answered by Aaryan | 1 year ago