If A=⎣⎡12a2122−2b⎦⎤ is a matrix satisfying the equation AAT=9I, where I is 3×3 identity matrix, then the ordered pair (a,b) is equal to :(A) (2,−1) (B) (−2,1) (C) (2,1) (D) (−2,−1)
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If A is order 2 square matrix such that ∣A∣=2, then |(adj(adj(adjA)))| is 512 b. 256 c. 64 d. none of these
Compute the following:(i) [a−bba]+[abba](ii) [a2+b2a2+c2b2+c2a2+b2]+[2ab−2ac2bc−2ab](iii) ⎣⎡−182458−6165⎦⎤+⎣⎡1283702654⎦⎤ (iv) [cos2xsin2xsin2xcos2x]+[sin2xcos2xcos2xsin2x]
Find area of triangle with vertices at the point given in each of the following(i)(1,0),(6,0),(4,3)(ii)(2,7),(1,1),(10,8)(iii)(−2,−3),(3,2),(−1,−8)
If the matrix A is both symmetric and skew symmetric, then
Find the value of determinant ∣∣2−54−1∣∣.
Find the value of x,y and z from the following equation:(i) [4x35]=[y1z5]
Solve the system of equations, using matrix method
Solve the system of equations, using Matrix method