Find the polynomial of degree 4 whose graph goes through the points , and. Graph this polynomial.
The graphical representation of the cubic polynomial is,
The equation is,
Substitute the points in the above equation to form the equations.
Re-write the equations in terms of a matrix.
The matrix form is,
Consider the matrix.
Using row Echelon form to reduce the matrix.
The values are, .
Therefore, the polynomial is,
The graphical representation is,
At the beginning of a semester, students have signed up for Linear Algebra; the course is offered in two sections that are taught at different times. Because of scheduling conflicts and personal preferences, of the students in Section switch to Section in the first few weeks of class, while of the students in Section switch to , resulting in a net loss of students for Section . How large were the two sections at the beginning of the semester? No students dropped Linear Algebra (why would they?) or joined the course late.
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