For a real number α, if the system ⎣⎡1αα2α1αα2α1⎦⎤⎣⎡xyz⎦⎤=⎣⎡1−11⎦⎤ of linear equations, has infinitely many solutions, then 1+α+α2=
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The element in 1st row and 2nd column of the inverse of the matrix ∣∣121−11−5236∣∣ is
If A=⎣⎡10−2−2−123 41⎦⎤ , find (A′)−1
Find the inverse of the matrix (if it exists)
Lets A=[0−550] be a skew symmetric matrix and I+A is non singular, then the matrix B=(I−A)(I+A)−1 is
The matrix ⎩⎨⎧111111111⎭⎬⎫ has
If A = ⎣⎡ 1 2 1−1111−31 ⎦⎤ and B = ⎣⎡ 4 −5 12022α3 ⎦⎤, If B is the inverse of A, then α is
Let A be a 3×2 matrix with real entries. Let H=A(ATA)−1AT where AT is the transpose of A and let I be the identity matrix of order 3×3. Then
Inverse of the matrix [13−24] is