# magic help magic magic Magic square magic is an N-by-N matrix construc

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167``` ```>> A = magic(3) A = 8 1 6 3 5 7 4 9 2 >> help magic magic Magic square. magic(N) is an N-by-N matrix constructed from the integers 1 through N^2 with equal row, column, and diagonal sums. Produces valid magic squares for all N > 0 except N = 2. Reference page in Help browser doc magic >> b = [1; 0; 1] b = 1 0 1 >> a\b Cannot find an exact (case-sensitive) match for 'a' The closest match is: A in C:\Users\11\Documents\MATLAB\A.m Did you mean: >> A\b ans = 0.2111 0.0444 -0.1222 >> x = A\b x = 0.2111 0.0444 -0.1222 >> A*x - b ans = 1.0e-15 * 0 0.1110 0 >> det(A) ans = -360 >> A = [A; zeros(2,3)] A = 8 1 6 3 5 7 4 9 2 0 0 0 0 0 0 >> rank(A) ans = 3 >> x = A\b Error using \ Matrix dimensions must agree. >> b = [b; 0;0] b = 1 0 1 0 0 >> x = A\b x = 0.2111 0.0444 -0.1222 >> A = [A zeros(5,2)] A = 8 1 6 0 0 3 5 7 0 0 4 9 2 0 0 0 0 0 0 0 0 0 0 0 0 >> x = pinv(A)*b x = 0.2111 0.0444 -0.1222 0 0 >> syms y >> solve(y^2-6y-10) solve(y^2-6y-10) | Error: Unexpected MATLAB expression. >> solve(y^2-6*y-10) ans = 19^(1/2) + 3 3 - 19^(1/2) >> mupad ans = MuPAD notebook >> solve(sin(y) - 6) ans = asin(6) pi - asin(6) >> syms x real >> syms y real >> solve(y^2-x*y-10, y) ans = x/2 + (x^2 + 40)^(1/2)/2 x/2 - (x^2 + 40)^(1/2)/2 >> solve(y^2-x*y-10, y); >> mupad ans = MuPAD notebook >> symlink Undefined function or variable 'symlink'. >> symlink ```