Problem 9
Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{aligned} -x_{1}-x_{2}+x_{3}+x_{4} &=0 \\ -2 x_{1}-2 x_{2}+x_{3} &=-1 \end{aligned} $$
Problem 9
Find the polynomial with the smallest degree that goes through the given points. $$(-4,-3),(0,1) \text { and }(1,4.5)$$
Problem 9
Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{lll}-1 & 1 & 4 \\ -2 & 1 & 1\end{array}\right]$$
Problem 9
State whether or not the given equation is linear. $$\cos (15) y+\frac{x}{4}=-1$$
Problem 10
State whether or not the given equation is linear. $$2^{x}+2^{y}=16$$
Problem 10
Find the polynomial with the smallest degree that goes through the given points. $$(-1,-8),(1,-2) \text { and }(3,4)$$
Problem 10
Perform the given row operations on \(A,\) where $$A=\left[\begin{array}{ccc}2 & -1 & 7 \\ 0 & 4 & -2 \\ 5 & 0 & 3\end{array}\right]$$ $$-1 R_{1} \rightarrow R_{1}$$
Problem 10
Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{lll}7 & 2 & 3 \\ 3 & 1 & 2\end{array}\right]$$
Problem 10
Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{aligned} x_{1}+x_{2}+6 x_{3}+9 x_{4} &=0 \\ -x_{1}-x_{3}-2 x_{4} &=-3 \end{aligned} $$
Problem 11
Find the polynomial with the smallest degree that goes through the given points. $$(-3,3),(1,3) \text { and }(2,3)$$
