Answer:
Step-by-step explanation:
It is a result that a matrix 
is orthogonally diagonalizable if and only if is a symmetric matrix. According with the data you provided the matrix should be
We know that its eigenvalues are 
, where 
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices 
that diagonalizes the matrix so.
and
Observe that the rows of 
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
Multiply 40 * 3 to find how many video games his shelves can hold (120).
Subtract 85 from 120 to find how many more video games he has room for.
Answer:
The answer is $33.6
Step-by-step explanation:
Each small package costs him $2.80
3 small packages will cost him 3 x $2.80 = $8.4
Each large package costs him $3.60
7 large packages will cost 7 x $3.60 = $25.2
Cost to send 3 small packages and 7 large packages = $8.4 + $25.2
= $33.6
64*3= 192 I multiplied that because the car traveled for 3 hours at the speed of 64 miles.
64-15= 49 I subtracted 15 out of 64 because the car only traveled 45 minutes after the three hours.
=241 final answer
Add like terms and put x in the middle.
-3 < -2x + x - 3x ≤ 5 - 2
-3 < - 4x ≤ 3
Sign changed when divide by negative numbers
(3/4) > x ≥ (-3/4)
