If A= ((2,3),(-1,2)) .Show that A^(2)-4A+7I=0 whwre I is the unit matrix of order 2.
If A = ((5,4,3),(1,-7,9),(3,8,2)) then find the transpose of A.
Knowledge Check
If A = [(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisfying the equation "AA"^(T) = 9I , where I is 3xx3 identity matrix, then the ordered pair (a,b) is equal to
A
`(2,-1)`
B
`(-2,1)`
C
`(2,1)`
D
`(-2,-1)`
If A=[(2, 1, 3, 4), (5, 9, -4, sqrt(7)), (3, (5)/(2), 8, 9), (7, 0, 1, 4)] then find the element of a_(43)=___ .
A
`1`
B
`9`
C
`0`
D
`8`
Similar Questions
Explore conceptually related problems
If A=[(0, 4, 9), (8, 3, 7)], B=[(7, 3, 8), (1, 4, 9)] find the value of 3A-9B
If A=[(5, 4, 3), (1, -7, 9), (3, 8, 2)] then find the transpose of A.
Verify that det (AB) = (det A) (det B) for A=[(4,3,-2),(1,0,7),(2,3,-5)] and B =[(1,3,3),(-2,4,0),(9,7,5)] .
If A=({:(5,4,3),(1,-7,9),(3,8,2):}) then find the transpose of A.
If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that (z_(1) + z_(2)) z_(3) = z_(1) z_(3) + z_(2) z_(3)
If P = {1, 2, 5, 7, 9}, Q = {2, 3, 5, 9, 11}, R = {3, 4, 5, 7, 9} and S = {2, 3, 4, 5, 8}, then find (PcupQ)cupR
