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 = 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, a₂₄ = 2 - 4 = - 2
a₃₁ = 3 - 1 = 2, a₃₂ =3 - 2, a₃₃=3 - 3 = 0, a₃₄ = 3 - 4 = - 1
$therefore space space space straight A equals open square brackets table row 0 cell negative 1 end cell cell negative 2 end cell cell negative 3 end cell row 1 0 cell negative 1 end cell cell negative 2 end cell row 2 1 0 cell negative 1 end cell end table close square brackets$

For Daily Free Study Material Join wiredfaculty

Matrices

Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

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

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Construct a 3 x 4 matrix whose elements are

a_{i j} = i.j