Problem 7
State whether or not the given equation is linear. $$x_{1}+y+t=1$$
Problem 7
Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{cc}4 & 12 \\ -2 & -6\end{array}\right]$$
Problem 7
Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{aligned} -2 x_{1}+4 x_{2}+4 x_{3} &=6 \\ x_{1}-3 x_{2}+2 x_{3} &=1 \end{aligned} $$
Problem 7
Find the polynomial with the smallest degree that goes through the given points. $$(-2,14) \text { and }(3,4)$$
Problem 8
Find the polynomial with the smallest degree that goes through the given points. $$(1,5),(-1,3) \text { and }(3,-1)$$
Problem 8
State whether or not the given equation is linear. $$\frac{1}{x}+9=3 \cos (y)-5 z$$
Problem 8
Find the solution to the given linear system. If the system has infinite solutions, give 2 particular solutions. $$ \begin{array}{l} -x_{1}+2 x_{2}+2 x_{3}=2 \\ 2 x_{1}+5 x_{2}+x_{3}=2 \end{array} $$
Problem 8
Use Gaussian Elimination to put the given matrix into reduced row echelon form. $$\left[\begin{array}{cc}-5 & 7 \\ 10 & 14\end{array}\right]$$
Problem 8
Convert the given augmented matrix into a system of linear equations. Use the variables \(x_{1}, x_{2},\) etc. $$\left[\begin{array}{ccccc}1 & 0 & 0 & 0 & 2 \\ 0 & 1 & 0 & 0 & -1 \\ 0 & 0 & 1 & 0 & 5 \\ 0 & 0 & 0 & 1 & 3\end{array}\right]$$
Problem 9
Convert the given augmented matrix into a system of linear equations. Use the variables \(x_{1}, x_{2},\) etc. $$\left[\begin{array}{llllll}1 & 0 & 1 & 0 & 7 & 2 \\ 0 & 1 & 3 & 2 & 0 & 5\end{array}\right]$$
