Let P=⎣⎡1416014001⎦⎤and I be the identity matrix of order 3. If Q=[q()ij] is a matrix, such that P50−Q=I, then q21q31+q32 equals
Let S be the set which contains all possible vaues fo I,m,n,p,q,r for which A=[I2−3p00m2−8qr0n2−15] be non-singular idempotent matrix. Then the sum of all the elements of the set S is ________.
A=[1tanx−tanx1]andf(x) is defined as f(x)=detATA−1˙ en the value of (f(f(f(ff(x)))) is (n≥2) _________.
Let F(α)=[cosα−s∈α0s∈αcosα0001],whereα∈R˙ Then (F(α))−1 is equal to F(α−1) b. F(−α) c. F(2α) d. −