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Consider the case of multiplying three matrices with A*B*C, where A is 500-by-2, B is 2-by-500, and C is 500-by-2. With no parentheses, the order of operations is left to right so A*B is calculated first, which forms a 500-by-500 matrix.
Instead of doing a matrix multiply, we can multiply the corresponding elements of two matrices or vectors using the .* operator.
22 paź 2015 · Explanation: Here is an example. ⎛ ⎜⎝4 5 3 4 1 2⎞ ⎟⎠(3 1 0 3) Find the first row of the product. Take the first row of ⎛ ⎜⎝4 5 3 4 1 2⎞ ⎟⎠, and make it vertical. (We'll do the same for the second row in a minute. And then for the third row.) 4 5(3 1 0 3)
Expanding a Matrix. You can add one or more elements to a matrix by placing them outside of the existing row and column index boundaries. MATLAB automatically pads the matrix with zeros to keep it rectangular. For example, create a 2-by-3 matrix and add an additional row and column to it by inserting an element in the (3,4) position.
16 lis 2009 · You can do this in one line using the functions NUM2CELL to break the matrix X into a cell array and CELLFUN to operate across the cells: Z = cellfun(@(x) x*Y,num2cell(X,[1 2]),'UniformOutput',false); The result Z is a 1-by-C cell array where each cell contains an A-by-D matrix.
6 lut 2019 · This tutorial shows the general formula to multiply a 2×2 matrix with another 2×2 matrix, along with several examples.
To multiply a matrix by a single number is easy: These are the calculations: We call the number ("2" in this case) a scalar, so this is called "scalar multiplication". Multiplying a Matrix by Another Matrix. But to multiply a matrix by another matrix we need to do the "dot product" of rows and columns ... what does that mean?