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Pre-University Mathematics - Matrices
1. For the square matrix
show that A (adj A) = |A|I
2. Find the inverse of
, find B.
show that A is an orthogonal, that is
5. Find the inverse of
6. Given two matrices where
7. Using matrices, solve the equations
x+y+2z = 4
2x-y+3z = 9
8. If the matrix A is fiven by
prove that it satisfies the relation
where I stands for the unit matrix of order 2.
9. If and
prove that .
as the sum of a symmetric and skew symmetric matrices.
A symmetric matrix is a square matrix if (i,j)th element of A is equal to (j,i)th element of A.
A skew symmetric matric is a square matrix if the (i,j)th element of A is equal to the negative of the (j,i)th element of A.
Character is who you are when no one is looking.