construct a 2×3 matrix whose elements in the e th row and j th column

1.	construct a 2×3 matrix whose elements in the e th row and j th column is given by: (i) aij= i+3j / 2 (ii) aij= 2i+3j / 2 (iii) aij= 3i+j / 2(iv) aij= 3i-j / 2
Answer» Answer: Let A = [AIJ] be REQUIRED 2 x 3 matrix where aij = i + 2 j therefore a11 = 1 + 2 = 3, a12 = 1 + 4 = 5, a13 = 1 + 6 = 7 a21 = 2 + 2 = 4, a22 = 2 + 4 = 6, a23 = 2 + 6 = 8 therefore space space space space space straight A equals open square brackets table row 3 5 7 row 4 6 8 END table close square brackets

construct a 2×3 matrix whose elements in the e th row and j th column is given by: (i) aij= i+3j / 2 (ii) aij= 2i+3j / 2 (iii) aij= 3i+j / 2(iv) aij= 3i-j / 2

Answer»

Answer:

Let A = [AIJ] be REQUIRED 2 x 3 matrix where aij = i + 2 j

therefore a11 = 1 + 2 = 3, a12 = 1 + 4 = 5, a13 = 1 + 6 = 7

a21 = 2 + 2 = 4, a22 = 2 + 4 = 6, a23 = 2 + 6 = 8

therefore space space space space space straight A equals open square brackets table row 3 5 7 row 4 6 8 END table close square brackets

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construct a 2×3 matrix whose elements in the e th row and j th column is given by: (i) aij= i+3j / 2 (ii) aij= 2i+3j / 2 (iii) aij= 3i+j / 2(iv) aij= 3i-j / 2​

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construct a 2×3 matrix whose elements in the e th row and j th column is given by: (i) aij= i+3j / 2 (ii) aij= 2i+3j / 2 (iii) aij= 3i+j / 2(iv) aij= 3i-j / 2