Matlab scalar matrix multiplication
[DOC File]LAB #1
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This section demonstrates how to use MATLAB as a calculator. MATLAB is designed to work on matrices. However, if we treat a scalar as a 1x1 matrix, MATLAB resembles a calculator. Table 2 shows the basic math operators. Table 3 lists elementary math functions. The rules of precedence are given below: 1. Expressions are evaluated from left to ...
[DOC File]Matrices
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That is, the addition or subtraction operator is applied element-by-element, and the result is a third matrix whose dimensions are identical with those of the original matrices. Other element-wise operators employed by Matlab include: Scalar multiplication: Matrix exponentiation: Trigonometric functions of a matrix, e.g.: Logarithm of a matrix:
[DOC File]Matlab Quick Command Reference Sheet: Page 1
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* Full matrix multiplication / Full matrix right division \ Full matrix left division ... returns row vector with max of each column of matrix A. max(v) returns scalar value with maximum of vector v. min(A) returns row vector with min of each column of matrix A ... or 5 if a built-in Matlab function. finite(A) Returns matrix of size A with 1s ...
[DOC File]EXERCISE 2-1
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B produces a matrix that also is of order [m by n] as follows: In contrast, the multiplication operator * is used to multiply a matrix by a vector, or a matrix by a matrix, using the rules of linear algebra, as we will see below. 4.6 Linear algebra. Elementary matrix functions may be reviewed by typing: >> help matfun
[DOC File]Matrices
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Mathematically, we express multiplication of a matrix A by a scalar as . where c is the scalar. Thus, multiplication by the scalar 3 is accomplished as: Multiplication of Matrices . Multiplication of one matrix by another is more complicated than scalar multiplication, and is carried out in accordance with a …
[DOC File]The MATLAB Notebook v1.5.2 - University Of Maryland
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Proposition 2.8: The square matrix A is a scalar multiple of an orthogonal matrix if and only if AAT is a positive scalar multiple of the identity matrix. Proof: If A=cU with U orthogonal, then AAT=c2UUT=c^2I. If AAT=c2I (any positive number is a square of a positive number), and we set U=(1/c)A. Then UUT=I , so that U is orthogonal and A=cU.
[DOC File]Operations in Matlab:
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Matlab is an excellent tool for performing a wide variety of operations on scalar, vector, and matrix values. Scalar: A single number >> a = 5 Real scalar 5
[DOC File]The MATLAB Notebook v1.5.2
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32 Notice that MATLAB does not distinguish between a 1x1 matrix (which is what vTw really is) and its single entry. Neither do we ordinarily, but we should remember that the product of a scalar with a matrix is not in general an instance of matrix multiplication. Notice also that the dot product is symmetric as regards v and w.
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