What is a symmetric matrix?
1 answer:
Answer:
symmetric matrix is the square matrix and it is equal to its transpose
Step-by-step explanation:
solution
a symmetric matrix is the square matrix and it is equal to its transpose
As A is symmetric matrix then
A =
here only square matrices will be symmetric
and matrix A is symmetric its mean its matrices have equal dimension
and every square diagonal matrix is also symmetric when all off diagonals element is zero
symmetric matrix for all indices i and j
A = aij = aji
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to increase each dimension by equal lengths so that its area triples is 12 feet.
The given dimensions are 18 feet by 15 feet.
We need to find how much should each dimension increase.
Shaquana wants to increase each dimension by equal lengths so that its area triples.
Let the increased length be x.
So, length =18+x feet and width=15+x feet.
As we know, the area of a deck=Length×Width
The original area of a deck=18×15=270 square feet.
Now, the new area of a deck=(18+x )×(15+x)=3×270
⇒270+15x+18x+x²=810 square feet
⇒x²+33x-540=0
Here, a=1, b=33 and c=-540 in .
⇒
⇒
⇒x=-45 or x=12
Length can not be a negative integer.
Therefore, to increase each dimension by equal lengths so that its area triples is 12 feet.
To learn more about the area of a rectangle visit:
brainly.com/question/20693059.
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