Irene McCormack Catholic College Mathematics Year 11
... 2.3.4 determine the slope and intercepts of a straight-line graph from both its equation and its plot 2.3.5 interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation 2.3.6 construct and analyse a straight-line graph to model a given linea ...
... 2.3.4 determine the slope and intercepts of a straight-line graph from both its equation and its plot 2.3.5 interpret, in context, the slope and intercept of a straight-line graph used to model and analyse a practical situation 2.3.6 construct and analyse a straight-line graph to model a given linea ...
7 Eigenvalues and Eigenvectors
... Definition 7.8 Two n × n matrices A and B are said to be congruent if there exists a unitary matrix C such that C ∗ AC = B. Definition 7.9 We say A is triangularizable if there exists an invertible matrix C such that C −1 AC is upper triangular. Remark 7.7 Obviously all diagonalizable matrices are t ...
... Definition 7.8 Two n × n matrices A and B are said to be congruent if there exists a unitary matrix C such that C ∗ AC = B. Definition 7.9 We say A is triangularizable if there exists an invertible matrix C such that C −1 AC is upper triangular. Remark 7.7 Obviously all diagonalizable matrices are t ...
Solving Systems Using Elimination - peacock
... Since –2y and 2y have opposite coefficients, the yterm is eliminated. The result is one equation that has only one variable: 6x = –18. When you use the elimination method to solve a system of linear equations, align all like terms in the equations. Then determine whether any like terms can be elimin ...
... Since –2y and 2y have opposite coefficients, the yterm is eliminated. The result is one equation that has only one variable: 6x = –18. When you use the elimination method to solve a system of linear equations, align all like terms in the equations. Then determine whether any like terms can be elimin ...
Lecture 14: Orthogonal vectors and subspaces
... onal to its nullspace, and its column space is orthogonal to its left nullspace. row space dimension r ...
... onal to its nullspace, and its column space is orthogonal to its left nullspace. row space dimension r ...
linear-system
... thus one sweep in (2) through all m rows of A consists of m iterations. We will refer to this as one cycle. While conditions for convergence of this method are readily established, useful theoretical estimates of the rate of convergence of the Kaczmarz method (or more generally of the alternating pr ...
... thus one sweep in (2) through all m rows of A consists of m iterations. We will refer to this as one cycle. While conditions for convergence of this method are readily established, useful theoretical estimates of the rate of convergence of the Kaczmarz method (or more generally of the alternating pr ...
Linear Algebra Application: Computer Graphics
... live in R2. 3-Dimensional graphics have a vast deal more applications in comparison to 2-Dimensional graphics, and are, likewise, more complicated. We will now work with the variable Z, in addition to X and Y, to fully represent coordinates on the X, Y, and Z axes, or simply space. For example we ca ...
... live in R2. 3-Dimensional graphics have a vast deal more applications in comparison to 2-Dimensional graphics, and are, likewise, more complicated. We will now work with the variable Z, in addition to X and Y, to fully represent coordinates on the X, Y, and Z axes, or simply space. For example we ca ...
