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Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues

Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues

Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues. A system of n linear equations in n variables, can be expressed as a matrix equation Ax = b : If b = 0 , then system is homogeneous ; otherwise it is nonhomogeneous . . Nonsingular Case.

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2k views • 29 slides
Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues

Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues

Ch 7.3: Systems of Linear Equations, Linear Independence, Eigenvalues. A system of n linear equations in n variables, can be expressed as a matrix equation Ax = b : If b = 0 , then system is homogeneous ; otherwise it is nonhomogeneous . . Nonsingular Case.

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918 views • 29 slides
2.2 Matrix Multiplication

2.2 Matrix Multiplication

2.2 Matrix Multiplication. Background Example. We return to our Sweatshirt store example: We wish to find the value of the inventory by size Smalls - $10, Med - $11, Large - $12, XL - $13. How would we set up the mult. to do this?. Matrix Multiplication Algorithm.

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438 views • 23 slides
2.3 Matrix Multiplication

2.3 Matrix Multiplication

2.3 Matrix Multiplication. Background Example. We return to our Sweatshirt store example: We wish to find the value of the inventory by size Smalls - $10, Med - $11, Large - $12, XL - $13. How would we set up the mult. to do this?. Matrix Multiplication Algorithm.

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412 views • 23 slides
Solving Linear Systems of Equations

Solving Linear Systems of Equations

Solving Linear Systems of Equations. Computational Considerations general solution to a system particular solutions: Square systems Overdetermined systems Underdetermined systems. Computational Considerations.

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421 views • 20 slides
Parametric Vector Solutions

Parametric Vector Solutions

Parametric Vector Solutions. p m shankar October 2014. A Homogeneous System Ax=0. b. ------- A ---------------. 1 -4 -2 0 3 -5 0 0 0 1 0 0 -1 0 0 0 0 0 1 -4 0.

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210 views • 8 slides

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