SOLUTION: How do you find the value of |A| in this problem, A = [ -1 4, 9 -3] 2x2 matrix???

Question 1053542: How do you find the value of |A| in this problem, A = [ -1 4, 9 -3] 2x2 matrix???
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
is a matrix. The notation means "The determinant of matrix A"

So let's find the determinant of this matrix

Solved by pluggable solver: Finding the Determinant of a 2x2 Matrix

If you have the general 2x2 matrix:

the determinant is:

So this means that

Note: the vertical bars denote a determinant.

-----------------------------------------------------------------

So in this case the determinant of is:

======================================================

Answer:

So which means that the determinant of the matrix is -33

RELATED QUESTIONS
How do you find the value of |A| in this problem, A = [ -1 4(row 1) 9 -3(row... (answered by Fombitz,ikleyn)

How do you multiply this set of matrices?

[5  4  8]  _\/  {-8  6}     (answered by Edwin McCravy)
How ould yu solve this? I understand the 2x2 matrice but this one is different
no tin... (answered by Fombitz)
Given:
[2 6 ...     [4 -6 ...        [2 6
1 3]  *    -1 3]   =    1 3]

Is [4 -6   an  (answered by ikleyn)
How do you solve this problem. It asks to find the inverse of the matrix.
 
{{{       7  (answered by Fombitz)
Hello,


I would appreciate it if a tutor could please help me verify my work for the... (answered by kchande)
Can someone help me with these two problems explaining them to me if someone has time... (answered by IamaangelXxX,robertb)
Prove that a matrix A, 2x2 conmutes with any matrix 2x2 if and only if A conmutes with... (answered by ikleyn)
 Analyze the linear transformation L(x) = Dx that transforms the vector x = [1 4
] to... (answered by robertb)