Construct a 2 x 3 matrix whose elements are given by a ij . = i + 2 j . - Wired Faculty

Matrices

Question

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .

Solution

Here a_ij = 2 i - j
$therefore$ a_{11 = 2 (1) - 2 = 2 - 1 = 1,}a₁₂ = 2 (1) - 2 = 2 - 2 = 0
a_{13 = 2 (1) - 3 = 2 - 3 = - 1,}a₁₄ = 2 (1) - 4 = 2 - 4 = - 2
a_{21 = 2 (2) - 1 = 4 - 1 = 3,}a₂₂ = 2 (2) - 2 = 4 - 2 = 2
a_{23 = 2 (2) - 3 = 4 - 3 = 1,}a₂₄ = 2 (2) - 4 = 4 - 4 = 0
$therefore space space space space space straight A equals open square brackets table row 1 0 cell negative 1 end cell cell negative 2 end cell row 3 2 1 0 end table close square brackets$

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Matrices

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .

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Matrices

Construct a 2 x 3 matrix whose elements are given by aij. = i + 2 j .

Some More Questions From Matrices Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Construct a 2 x 3 matrix whose elements are given by a_ij. = i + 2 j .