If `[{:(5," "4,-2),(6,-1," "7):}]`, find (i) 3A (ii) `(1)/(2)A` (iii) `-2A`.

If A={1,2,3,4} and B={3,4,5,6,7} find (i) AUB (ii) A nn B (iii) A-B (iv) B-A

If A="diag "[2,-5,9],B="diag "[-3,7,14]" and "C="diag "[4,-6,3] , find: (i) A+2B1 (ii) B+C-A (iii) 2A+B-5C.

If U ={1,2,3, 4,5,6,7,8} and A={2,4,6,8} , Find (i) A' (ii) (A')' .

Let U" "=" "{1," "2," "3," "4," "5," "6," "7," "8," "9} , A" "=" "{1," "2," "3," "4} , B" "=" "{2," "4," "6," "8" "} and C" "=" "{" "3,4," "5," "6" "} . Find (i) A^(prime) (ii) B^(prime) (iii) (AuuC)^(prime) (iv) (AuuB)^(prime) (v) (A^

Evaluate. (i) 3^(-2) (ii) (-4)^(-2) (iii) (1/2)^(-5)

Evaluate : if possible (i) [3,2] [{:(,2),(,0):}] (ii) [1 , -2] [{:(,-2,3),(,-1,4):}] (iii) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}] (iv) [{:(,6,4),(,3,-1):}] [{:(,-1),(,3):}]

Find the transpose of each of the following matrices : (i) [{:(5),((1)/(2)),(-1):}] (ii) [{:(1,-1),(2,3):}] (iii) [{:(-1,5,6),(sqrt(3),5,6),(2,3,-1):}]

Find the area of the triangle whose vertices are given below : (i) (-3,-4), (-2,-7), (-1,-9) (ii) (3,8),(-4,2), (5,1) (iii) (2,1), (3,2), (-1, 4)

Find the slopes of the lines passing through the following points : (i) (1,5) and (3,2) (ii) (-4,3) and (-6,3) (iii) (1,3) and (1,4) (iv) (2,-1) and (3,2)