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

Addition of Matrices How to Examples Exercise How to: We can add together any types of matrices (Vectors included), so long as they both have the same number of rows and columns (i.e. both are MxN). Here we will add regular matrices A and B (assumed to both be MxN) and store the answer in C:      C = A + B Symbolic matrices are a little trickier. We cannot just use the '+' sign, we have to use a special function:      C = symadd(A, B) Examples: Let's take row vectors rV1 = [1 2 3] and rV2 = [4 5 6], add them together and store it in variable rV3:      rV3 = rV1 + rV2 Now, let's add symbolic row vectors srV1 = sym('[a, b, c]') and srV2 = sym('[d, e, f]') and store it in variable srV3:      srV3 = symadd(srV1, srV2) Exercise: Given matrices A = [10 78 81; 65 101 -99; -9 14 100] and B = [1 10 21; -9 -8 11; -76 1 -76], add them together and store the answer in C. Click here to see the answer.