Find the value of `1.0 +(0+1)^1 *1.0 +(0+1)^1`

Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|

Find the product : 1.1xx0.1xx0.11

Find the value of x if |[2, 1 ,x+1],[-1,3,-4],[0,-5,3]|=0

Find the values of k for which the points (2k ,3k),(1,0),(0,1),a n d(0,0) lie on a circle.

If int_0^1(e^t)/(1+t)dt=a , then find the value of int_0^1(e^t)/((1+t)^2)dt in terms of a .

find the rank of matrix A=[[0,1,1 ],[1, 0 ,1 ],[1, 1, 0]]

find the value of |{:(1,,2,,4),(-1,,3,,0),(4,,1,,0):}|

Which of the following is (are) NOT the square of a 3xx3 matrix with real entries? [1 0 0 0 1 0 0 0-1] (b) [-1 0 0 0-1 0 0 0-1] [1 0 0 0 1 0 0 0 1] (d) [1 0 0 0-1 0 0 0-1]

Write the value of the expression (1-4sin1 0^0sin7 0^0)/(2sin1 0^0)

Which of the following matrices have eigen values as 1 and -1 ? (a) [(0,1),(1,0)] (b) [(0,1),(1,0)] (c) [(1,0),(0,-1)] (d) [(1,0),(0,1)]