LINEAR EQUATIONS

Creating a Matrix Substituting Within a Symbolic Matrix Manipulating Regular Matrices Vectors Scalar Multiplication Addition of Matrices Gauss-Jordan Elimination Reduced Row-Echelon Form Dot Product Rank Number of Solutions

Dot Product How to Examples Exercise How to: Finding the dot product in MATLAB is quite easy, no matter what size vector we are dealing with:      dot(first vector, second vector) MATLAB returns a scalar that is the answer to the dot product. We need not worry whether we have row or column vectors, so long as they have the same number of entries. Examples: Let's find the dot product of vectors v1 = [1 -1 5] and v2 = [3 3 0], and store it in variable 'd' to use later:      d = dot(v1, v2) MATLAB tells us that 'd = 0'. This is a special case of the dot product. When our answer is zero, that means that our vectors are perpendicular to one another. We need not store our vectors in variables before we use the dot product. This notation is just fine:      d = dot([1; 2; 3], [3; 2; 1]) Exercise: