Maya shaved her head and then began letting her hair grow. She represents the length l of her hair, in
1 answer:
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Answer:
a) -27 a³ b⁶
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given ( -3 ab² )³
By using (ab )ⁿ = aⁿ bⁿ
( -3 ab² )³ = (-3)³ a³ (b²)³
Again , using formula
= -27 a³ b⁶
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.