Answer:
C. Yes, because A does not have a pivot position in every row.
Step-by-step explanation:
The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.
Using the Factor Theorem, it is found that yes, it is possible for a sixth degree polynomial function with integer coefficients to have no real zeroes, as they can have three complex-conjugate pairs.
<h3>What is the Factor Theorem?</h3>
The Factor Theorem states that a polynomial function with roots is given by:
In which a is the leading coefficient.
If a complex number is a root of a function, it's conjugate will also be a root. Thus, with three pairs of complex-conjugate roots, for example, , a sixth degree function with no real zeros is formed, so the answer is Yes.
More can be learned about the Factor Theorem at brainly.com/question/24380382
Sally gave 30 shells to Jason
<em><u>Solution:</u></em>
Given that, Sally found 58 seashells on the beach, she gave Jason some of her seashells
She has 28 left
To find: Number of sea shells she gave to Jason
From given,
Total number of shells she found = 58
Remaining shells = 28
Therefore,
Number of sea shells she gave to Jason = Total number of shells she found - Remaining shells
Number of sea shells she gave to Jason = 58 - 28 = 30
Thus Sally gave 30 shells to Jason