91Ó°ÊÓ

Find the polynomial with the smallest degree that goes through the given points. $$(-4,-3),(0,1) \text { and }(1,4.5)$$

State whether or not the given equation is linear. $$\cos (15) y+\frac{x}{4}=-1$$

Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{lll}-1 & 1 & 4 \\ -2 & 1 & 1\end{array}\right]$$

Convert the given augmented matrix into a system of linear equations. Use the variables \(x_{1}, x_{2},\) etc. $$\left[\begin{array}{llllll}1 & 0 & 1 & 0 & 7 & 2 \\ 0 & 1 & 3 & 2 & 0 & 5\end{array}\right]$$

Perform the given row operations on \(A,\) where $$A=\left[\begin{array}{ccc}2 & -1 & 7 \\ 0 & 4 & -2 \\ 5 & 0 & 3\end{array}\right]$$ $$-1 R_{1} \rightarrow R_{1}$$

Find the polynomial with the smallest degree that goes through the given points. $$(-1,-8),(1,-2) \text { and }(3,4)$$

State whether or not the given equation is linear. $$2^{x}+2^{y}=16$$

Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{lll}7 & 2 & 3 \\ 3 & 1 & 2\end{array}\right]$$

Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{aligned} x_{1}+x_{2}+6 x_{3}+9 x_{4} &=0 \\ -x_{1}-x_{3}-2 x_{4} &=-3 \end{aligned} $$

Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{aligned} 2 x_{1}+x_{2}+2 x_{3} &=0 \\ x_{1}+x_{2}+3 x_{3} &=1 \\ 3 x_{1}+2 x_{2}+5 x_{3} &=3 \end{aligned} $$