Linear Algebra Answers

Compute the determinant of :
∣−2−3∣
∣1 4∣

a. 5
b. -5
c. 4
d. -4

Compute the determinant of :
∣∣∣−1−4−1−2∣∣∣
8
4
3
-2

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