Answer:
exactly one, 0's, triangular matrix, product and 1.
Step-by-step explanation:
So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.
"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries. Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).
Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.
You can factor out 36*5=180 and 27*4=108 and find that they have 36 as greatest common divisor. The x and y factors have xy as the best you can divide by. So the factor becomes 36xy
36xy(5y²+3) = 36x5y³ + 27x4y
Answer: 7.5"
Step-by-step explanation:
First, take away the extra 5" on the longer side lengths
40-5-5=30
Then divide by 4 to get the width
30/4=7.5
This works because if you took the 7.5" and added back the 5 inches, it makes 12.5. Then add all 4 sides together, you get 40.
7.5+7.5+12.5+12.5=
2^3 = 2 x 2 x 2 = 8
your answer is 8
hope this helps
Answer:
10
Step-by-step explanation:
because 40 can go into 400 ten times
also if you do it on long division you will do 10 times 40 is 400
