Linear Algebra Answers

Compute the determinant of :
∣∣∣−2−314∣∣∣

Compute the determinant using elements in the first row:
A∣∣∣∣1540−7−8371∣∣∣∣

Find x by the use of determinant : 3x-4y+2z+8=0, x+5y-3z+2=0, 5x+3y-z+6+0

Find z by the use of determinant : 3x-4y+2z+8=0, x+5y-3z+2=0, 5x+3y-z+6=0

Consider a 3x3 square matrix given as
⎡⎣200020001⎤⎦
. What is the element in a22

Solve the linear equation : 2x+y-3z= 5,3 x-2y-2z= 5, and 5x-3y-z= 16.

Let A=
∣2 0∣
∣0 3∣
and B=
∣7 0∣
∣0 11∣
. Find AB

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 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