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Exercise 3.16

1. In the matrix A = , write

(i) The number of elements

(ii) The order of the matrix

(iii) Write the elements *a*22, *a*23, *a*24, *a*34, *a*43, *a*44 .

2. If a matrix has 18 elements, what are the possible orders it can have? What if it has 6 elements?

3. Construct a 3 ×3 matrix whose elements are given by

(i) a*ij* = |*i* − 2*j*| (ii) a*ij* = (*i*+*j*)3/3

4. If then find the transpose of *A*.

5. If then find the transpose of -*A* .

6. If A = then verify (AT)T = A

7. Find the values of *x, y* and *z* from the following equations

1.(i) 16 (ii) 4 × 4 (iii) √7 , √3/2 , 5, 0, -11 , 1

2.1 × 18 , 2 × 9 , 3 × 6 , 6 × 3 , 9 × 2 , 18 × 1 and 1 × 6, 2 × 3, 3 × 2, 6 × 1

7.(i) 3,12,3 (ii) 4,2,0 or 2,4,0 (iii) 2,4,3

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10th Mathematics : UNIT 3 : Algebra : Exercise 3.16: Matrix | Problem Questions with Answer, Solution | Mathematics

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