Select all the correct answers. What is the length of side PQ in this figure?
2 answers:
You might be interested in
Answer:
The correct answer is $8532.17
Step-by-step explanation:
The formula for calculating investments with compound interests is as follows:
Where:
R is the annual interest rate,
t is the number of times the investment is to be compounded in a year,
n is the number of years,
P is the principal amount invested.
Replacing in the formula with the given values you have:
Option B
Hope you understand :)
Answer:
C. True; by the Invertible Matrix Theorem if the equation Ax=0 has only the trivial solution, then the matrix is invertible. Thus, A must also be row equivalent to the n x n identity matrix.
Step-by-step explanation:
The Invertible matrix Theorem is a Theorem which gives a list of equivalent conditions for an n X n matrix to have an inverse. For the sake of this question, we would look at only the conditions needed to answer the question.
- There is an n×n matrix C such that CA=
.
- There is an n×n matrix D such that AD=
- The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix
- For each column vector b in
, the equation Ax=b has a unique solution.
- The columns of A span
Therefore the statement:
If there is an n X n matrix D such that AD=I, then there is also an n X n matrix C such that CA = I is true by the conditions for invertibility of matrix:
- The equation Ax=0 has only the trivial solution x=0.
- A is row-equivalent to the n×n identity matrix
The correct option is C.