2x2 matrix multiplication example
[DOC File]MAT 205 CUMULATIVE TEST 2 (CT2)
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Oct 26, 2010 · 2x2 Example: Find the inverse of A using text to describe your row operations, and equation editor to show the row operation results. When you get the inverse, A-1, get its inverse, (A-1)-1 and show that it is the original matrix below.
[DOCX File]Rotation Matrices
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Equations 1.0 and 1.1 illustrate the important idea that a matrix can be thought of as the “instructions” for a linear transformation of a vector to another vector. A 2x2 matrix represents a transformation that maps the set of all 2D vectors, i.e. all points in the x-y plane, into a new set of 2D vectors (or, equivalently, a new set of points).
[DOC File]ALGEBRA 2 X
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(2x2 by hand and calculator, 3x3 by calculator only) 4.4 p.274 #1-11 (use Calc for 10 and 11), 29, 38, 39 8 Review Matrix Multiplication. Finding Matrix Inverses, Solving Systems Using Matrix Inverses 4.5 p.282-285 #1-12 9 Row Operations and Augmented Matrices …
[DOCX File]Matrices 2
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Not all matrices have inverses: for example the zero matrix, and the matrix [1 0; 0 0]. Matrix with no inverse is “noninvertible” or “singular”. Symbol for inverse: A-1 . If A has an inverse, it has only 1 inverse. Set up eqn for inverse of a 2x2 matrix, then show that it ends up being 4 eqns in 4 unknowns.
[DOC File]Matrices
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Now, practice your matrix multiplication by checking to see if multiplication by the identity matrix is commutative by comparing the products AI with IA, BI with IB, and CI with IC. Hint: refer to Equation 1 to see if you need to use identity matrices of different dimensions to calculate the product IA, IB, and IC.
[DOC File]MATRICES
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Co-factor Cij = determinant of 2X2 matrix obtained by deleting row i and column j of A, prefixed by + or – according to following pattern… e.g. C23 is co-factor associated with a23, in row 2 and column 3. so delete row 2 and column 3 to give a 2X2 matrix. co-factor C23 is – determinant of 2X2 matrix (negative sign in position a23)
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