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| -rw-r--r-- | matrices/script.rst | 22 |
1 files changed, 13 insertions, 9 deletions
diff --git a/matrices/script.rst b/matrices/script.rst index fa30811..4bc3a3f 100644 --- a/matrices/script.rst +++ b/matrices/script.rst @@ -70,6 +70,8 @@ Similarly, it does matrix subtraction, that is element by element subtraction. Now let us try, + +{{{ Switch to next slide, Matrix multiplication }}} :: m3 * m2 @@ -120,9 +122,9 @@ To find out the transpose of a matrix we can do, Matrix name dot capital T will give the transpose of a matrix -{{{ switch to next slide, Euclidean norm of inverse of matrix }}} +{{{ switch to next slide, Frobenius norm of inverse of matrix }}} -Now let us try to find out the Euclidean norm of inverse of a 4 by 4 +Now let us try to find out the Frobenius norm of inverse of a 4 by 4 matrix, the matrix being, :: @@ -131,17 +133,17 @@ matrix, the matrix being, The inverse of a matrix A, A raise to minus one is also called the reciprocal matrix such that A multiplied by A inverse will give 1. The -Euclidean norm or the Frobenius norm of a matrix is defined as square -root of sum of squares of elements in the matrix. Pause here and try -to solve the problem yourself, the inverse of a matrix can be found -using the function ``inv(A)``. +Frobenius norm of a matrix is defined as square root of sum of squares +of elements in the matrix. Pause here and try to solve the problem +yourself, the inverse of a matrix can be found using the function +``inv(A)``. And here is the solution, first let us find the inverse of matrix m5. :: im5 = inv(m5) -And the euclidean norm of the matrix ``im5`` can be found out as, +And the Frobenius norm of the matrix ``im5`` can be found out as, :: sum = 0 @@ -166,16 +168,18 @@ The solution for the problem is, {{{ switch to slide the ``norm()`` method }}} -Well! to find the Euclidean norm and Infinity norm we have an even easier +Well! to find the Frobenius norm and Infinity norm we have an even easier method, and let us see that now. The norm of a matrix can be found out using the method -``norm()``. Inorder to find out the Euclidean norm of the matrix im5, +``norm()``. Inorder to find out the Frobenius norm of the matrix im5, we do, :: norm(im5) +Euclidean norm is also called Frobenius norm. + And to find out the Infinity norm of the matrix im5, we do, :: |