यदि `A = [(1,-2,3),(2,3,-1),(-3,1,2)]` हो, तो सिद्ध कीजिये कि
`A^(2) - 3A + 9I = [(-6,1,2),(5,4,4),(2,8,-3)]`

यदि (x/3+1,y-2/3) = (5/3,1/3) हो, तो x और y का माना ज्ञात , कीजिये।

The order of the matrices [{:(1,2,3),(4,5,-1):}], [{:(2,4),(9,2),(6,3),(4,1):}] , [{:(4,5,6),(3,2,1),(9,8,7):}] respectively are :

If A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}, then (A xx B) uu (A xx C) = {(1, 3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5),(3,6)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} ii) { (2,1,(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} iii) {(0,0),(1,1),(1,-1),(4,2),(4,-2),(9,3)(9,-3),(16,-4), (16,-4)} iv) {(1, 2),(1,3),(2,5)} v) {(2,1),(3,1),(5,2)} vi) { (1,2),(2,2),(3,2)}

If U = {1,2,3,4,5,6,7,8,9} and A = {1,2,3,4} , then (A^(c))^(c) = ……….. .

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range: (i) {(2,1), (3,1),(4,2)} (ii) {(2,2),(2,4),(3,3),(4,4)} (iii) {(2,1),(5,1),(8,1),(11,2),(14,2),(17,2)} (iv) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (v){(2,1),(4,2),(6,3),(8,4),(10,5)} (vi) {(1,2),(2,3),(3,4),(3,5),(3,7),(4,8)}

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}

If A={1,2,3},B={3,4}and C={4,5,6}, "then prove that" (AxxB)uu(AxxC) ={(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5 ),(2,6),(3,3),(3,4),(3,5),(3,6)}