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Exercise 3.16: Matrix - Problem Questions with Answer, Solution | Mathematics | Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail |

Chapter: 10th Mathematics : Algebra

Exercise 3.16: Matrix

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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 a22a23a24a34a43a44 .



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) aij = |i − 2j| (ii) aij = (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




Answers:

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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