Answer:
2.5, 16,3,32
Step-by-step explanation:
(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.
(b) False. As an example, consider the matrices
![A_{3\times2} = \begin{bmatrix}1&0\\0&1\\0&0\end{bmatrix}](https://tex.z-dn.net/?f=A_%7B3%5Ctimes2%7D%20%3D%20%5Cbegin%7Bbmatrix%7D1%260%5C%5C0%261%5C%5C0%260%5Cend%7Bbmatrix%7D)
![B_{2\times3} = \begin{bmatrix}-1&0&1\\0&0&1\end{bmatrix}](https://tex.z-dn.net/?f=B_%7B2%5Ctimes3%7D%20%3D%20%5Cbegin%7Bbmatrix%7D-1%260%261%5C%5C0%260%261%5Cend%7Bbmatrix%7D)
Then both AB and BA are defined, with
![AB_{3\times3} = \begin{bmatrix}-1&0&1\\0&0&1\\0&0&0\end{bmatrix}](https://tex.z-dn.net/?f=AB_%7B3%5Ctimes3%7D%20%3D%20%5Cbegin%7Bbmatrix%7D-1%260%261%5C%5C0%260%261%5C%5C0%260%260%5Cend%7Bbmatrix%7D)
![BA_{2\times2} = \begin{bmatrix}-1&0\\0&0\end{bmatrix}](https://tex.z-dn.net/?f=BA_%7B2%5Ctimes2%7D%20%3D%20%5Cbegin%7Bbmatrix%7D-1%260%5C%5C0%260%5Cend%7Bbmatrix%7D)
In general, you can multiply any m×n by any n×m matrix.
(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.
Answer:
x=0
y=8
Step-by-step explanation:
This is a simultaneous equation
So let's solve
y=-8x+8..(1)
y=-8x+8...(2)
Add (1) and (2)
2y=16
Make y the subject of formula by dividing both sides by 2
y=8
Substitute the value for y into (2)
8=-8x+8
Collect like terms
8-8=-8x
0=-8x
Divide both sides by-8
x=0
Therefore x is 0 and y is 8
Y= 4
z= -7
Substitute the given values above in for each variable in the expression below.
= 3y^2 + 2z
= 3(4)^2 + 2(-7)
using order of operations, square 4 before multiplying (PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction)
= 3(16) + (-14)
a positive times negative is negative
= 48 - 14
= 34
ANSWER: 34
Hope this helps! :)
The area would be 78.5 inches squared !!
( A = 78.5in² )