Write the value of `|[a+i b, c+i d],[-c+i d ,a-i b]|` .

If A=[[a+i b, c+i d],[-c+i d, a-i b]] and a^2+b^2+c^2+d^2=1,t h e n ,A^(-1) is equal to a. [[a+i b,-c+i d],[c+i d, a-i b]] b. [[a-i b,-c-i d],[-c-i d, a+i b]] c. [[a+i b,-c-i d],[-c+i d, a-i b]] d. none of these

If A , B ,C are angles of a triangle, then the value of |[e^(2i A),e^(-i C),e^(-i B)],[e^(-i C),e^(2i B),e^(-i A)],[e^(-i B),e^(-i A),e^(2i C)]| is (a) 1 (b) -1 (c) -2 (d) -4

Find the correct matches (1) a-iii, b-i, c-iv, d-ii (2) a-ii, b-i, c-iii, d-iv (3) a-iii, b-iv, c-ii, d-i (4) a-iv, b-iii, c-I, d-ii

sum_(i=1)^20 [(.^20C_(i-1))/(.^20C_i+.^20C_(i-1))]^3=k/21 then find the value of k. (a) 400 (b) 100 (c) 50 (d) 200

If (1+i)(1+2i)(1+3i)...(1+n i)=a+i b , then the value of; 2. 5. 10. 17... (1+n^2\ ) will be (a) . a-i b (b) . a^2-b^2 (c) . a^2+b^2 (d) . none of these

Let A = [[0, alpha],[0,0]] and(A+I)^(70) - 70 A = [[a-1,b-1],[c-1,d-1]], the value of a + b + c + d is

Let A=[(0,alpha),(0,0)] and (A+I)^(50)=50 A=[(a,b),(c,d)] Then the value of a+b+c+d is (A) 2 (B) 1 (C) 4 (D) none of these

Match and find the correct option {:(,"",I,"",II),(,a,"Transferases",i,"Epimerase"),(,b,"Hydrolases",ii,"Kinases"),(,c,"Lyases",iii,"Phosphate"),(,d,"Isomerase",iv,"Fumarase"):} (a) a-ii, b-iii, c-iv, d-i (b) a-ii, b-iii, c-i, d-iv (c) a-v, b-i, c-iv, d-iii (d) a-ii, b-i, c-v, d-iii

If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a. B A b. -B A c. I d. O

If A^2-A+I=0, then the inverse of A is a. A^(-2) b. A+I c. I-A d. A-I