Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download PreCalcP6 6.1 - Multivariable Linear Systems and Row Operations
Document related concepts
Jordan normal form wikipedia , lookup
Determinant wikipedia , lookup
Singular-value decomposition wikipedia , lookup
Eigenvalues and eigenvectors wikipedia , lookup
Bra–ket notation wikipedia , lookup
Non-negative matrix factorization wikipedia , lookup
System of polynomial equations wikipedia , lookup
Signal-flow graph wikipedia , lookup
History of algebra wikipedia , lookup
Matrix calculus wikipedia , lookup
Cayley–Hamilton theorem wikipedia , lookup
Linear algebra wikipedia , lookup
Transcript
PreCalcP6 6.1 Multivariable Linear Systems and Row Operations PreCalcP6 6.1 Multivariable Linear Systems and Row Operations Solve this system of equations. x + 3y + 2z = 5 3x + y – 2z = 7 2x + 2y + 3z = 3 PreCalcP6 6.1 Multivariable Linear Systems and Row Operations What is a matrix? Important vocabulary: Row Column Element Solve this system of equations. Let's use a matrix! (Actually, an augmented matrix) x + 3y + 2z = 5 3x + y – 2z = 7 2x + 2y + 3z = 3 PreCalcP6 6.1 Multivariable Linear Systems and Row Operations Solve this system of equations. Let's use a matrix! (Actually, an augmented matrix) x + 3y + 2z = 5 3x + y – 2z = 7 2x + 2y + 3z = 3 Solve this system of equations. Let's use a matrix! PreCalcP6 6.1 Multivariable Linear Systems and Row Operations Solve this system of equations. Let's use a matrix! Solve this system of equations. Let's use a matrix! PreCalcP6 6.1 Multivariable Linear Systems and Row Operations PreCalcP6 6.1 Multivariable Linear Systems and Row Operations PreCalcP6 6.1 Multivariable Linear Systems and Row Operations You can use your calculator to easily transform an augmented matrix into reduced row echelon form. Here's a video with instructions for how to enter a matrix into your calculator and solve a linear system. https://youtu.be/e8mDRCIRbJU PreCalcP6 6.1 Multivariable Linear Systems and Row Operations PreCalcP6 6.1 Multivariable Linear Systems and Row Operations PreCalcP6 6.1 Multivariable Linear Systems and Row Operations
