Let A = , the standard matrix of a transformation T : R³ to R²

let W (w1, w2) = T_A(-1, 2, -1)

find w2

Let W be the orthogonal projection of U(4, -2, 9) on a(5, 2, 2).

W = x a

find x

Let A =

A^-1 =

find "c" for which A^-1 is the inverse of A

Let A = 

,   \)

  
 A.B = 
find X

Let A = 

A represents the augmented matrix for a system of 3 linear equations in 3 variables (x1, x2, and x3).

Verify that this matrix is in row echelon form then use back substitution method to calculate the value of x2.

For a system of 5 equations in 13 variables, the size of the corresponding coefficient matrix is :

Let A = 

A is the augmented matrix for a system.

find the solution of the system :

Let A = 

A represents the augmented matrix for a system of linear equations.

apply row operations to transform the 2nd entry in the third row to "0".

the 3rd row of this matrix becomes :

Suppose that the matrix below represents the augmented matrix for a system of linear equations. Determine if the system is consistent or not. If the system is​ consistent, determine if the solution is unique.​

Suppose that the matrix below represents the augmented matrix in reduced row echelon form for a

system of linear equations.

find X2 if X3 = -9