Linear Algebra Answers

Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find c

Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c

If A.x=\lambda x,where A=\begin{vmatrix}2&2&-2\\1&3&1\\1&2&2\end{vmatrix},determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If \lambda=2,what is b

Solve the linear equation : 2x+3y=3, x-2y=5 and 3x+2y=7

Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find

no skew symmetric matrix is diagonalisable. T/F justify

if zero is an eigenvalue of a linear transformation T, then T is not invertible. T/F justify

the rank of a matrix equals its number of nonzero rows.
T/F justify your answer

let v be the vector space of polynomial with real coefficients and of degree at most 2. If D=d/dx is the differential operator on v and B={1+2x^2, x+x^2, x^2} is an ordered basis of V, find [D]b. find the rank and nullity of D. Is D invertible? justify your answer.

Solve the set of linear equations by Guassian elimination method : a+2b+3c=5, 3a-b+2c=8, 4a-6b-4c=-2. Find b