What is the value of y if (y,3),(−5,6) and (−8,8) are collinear?
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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
Let A be a non-singular matrix and X=0,Y=0 be two column matrices such that AX=(1001)XandA−1Y=λY, find one of the possible values of λ.
Given A=. I is a unit matrix of order 2. Find all possible matrix X such that AX=I
If A=⎣⎡122212221⎦⎤, find A−1 and prove that A2−4A−5I=0.
Find A−1, if A= ⎣⎡1111ωω21ω2ω⎦⎤, where ω is the cube root of unity
The inverse of ⎩⎨⎧100ax0b01⎭⎬⎫ is ⎩⎨⎧100−a10−b01⎭⎬⎫ then x=
If ∣AdjA∣=81, find ∣A∣ if A is a matrix of order 3×3. Find also ∣AT∣ & A−1