1. T=&& has four unrepeated indexes and is thus a four-dimensional tensor, i.e. it has 81...

 

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1. T=&& has four unrepeated indexes and is thus a four-dimensional tensor, i.e. it has 81 components in which i.j.l, and m can each be x, y, or z. Show that T... = 8, 8. - 8. 8, for all 81 components. [MATLAB] Use MATLAB to solve this problem. Produce the matrices Tand 8.8-8 8, and show that they are identical. Write all of your commands in a script with appropriate comments. Follow the following steps: 1) Create two 3 x 3 x 3 x 3 four-dimensional matrices of zeros using the command zeros(M,N,P...). The first matrix stores the elements of & &... and the second one stores the elements of 8. 8. - 8. 8. Use the indices 1, 2 and 3 to represent x, y, z. For example, T... is represented by T(1,2,3,1) in MATLAB. 2) Create nested for-loops that increment through all of the 81 components in both matrices. Inside the for-loops, consider using if-elseif-else-end statements to set the values for each element in T. and 8. 8. - 8. 8. If necessary, use nested if- statements, e.g. if-end statements between if-elseif statements. 3) After setting all of the elements and exiting from the for-loops, use the command isequal(A,B), which determines whether all of the corresponding elements of A and B are equal. If all of the corresponding elements are equal, the command gives the value 1, and otherwise it gives 0. 1. T=&& has four unrepeated indexes and is thus a four-dimensional tensor, i.e. it has 81 components in which i.j.l, and m can each be x, y, or z. Show that T... = 8, 8. - 8. 8, for all 81 components. [MATLAB] Use MATLAB to solve this problem. Produce the matrices Tand 8.8-8 8, and show that they are identical. Write all of your commands in a script with appropriate comments. Follow the following steps: 1) Create two 3 x 3 x 3 x 3 four-dimensional matrices of zeros using the command zeros(M,N,P...). The first matrix stores the elements of & &... and the second one stores the elements of 8. 8. - 8. 8. Use the indices 1, 2 and 3 to represent x, y, z. For example, T... is represented by T(1,2,3,1) in MATLAB. 2) Create nested for-loops that increment through all of the 81 components in both matrices. Inside the for-loops, consider using if-elseif-else-end statements to set the values for each element in T. and 8. 8. - 8. 8. If necessary, use nested if- statements, e.g. if-end statements between if-elseif statements. 3) After setting all of the elements and exiting from the for-loops, use the command isequal(A,B), which determines whether all of the corresponding elements of A and B are equal. If all of the corresponding elements are equal, the command gives the value 1, and otherwise it gives 0.