MATLAB Code for finding Frequencies and Mode Shapes for a 10 Mass-Spring system

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Natural Frequencies and Mode Shapes
To obtain the natural frequencies and mode shapes the following program was setup in a m-script file:
Natural Frequencies obtained:

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Block 1 0.1230
Block 2 0.2434
Block 3 0.3590
Block 4 0.4672
Block 5 0.5659
Block 6 0.6530
Block 7 0.7269
Block 8 0.7860
Block 9 0.8291
Block 10 0.8553
As obtained in program: With variable name nat_freq, all the natural frequencies of the 10 blocks are stored
it in matrix form. It is obtained in the program as follows:
nat_freq =
Columns 1 through 9
0.1230 0.2434 0.3590 0.4672 0.5659 0.6530 0.7269 0.7860 0.8291
Column 10
0.8553
Mode Shapes:
For Vector 1: 0.0439 0.0842 0.1177 0.1416 0.1541 0.1541 0.1416 0.1177 0.0842 0.0439
For Vector 2: -0.0842 -0.1416 -0.1541 -0.1177 -0.0439 0.0439 0.1177 0.1541 0.1416 0.0842
For Vector 3: -0.1177 -0.1541 -0.0842 0.0439 0.1416 0.1416 0.0439 -0.0842 -0.1541 -0.1177
For Vector 4: 0.1416 0.1177 -0.0439 -0.1541 -0.0842 0.0842 0.1541 0.0439 -0.1177 -0.1416
For Vector 5: -0.1541 -0.0439 0.1416 0.0842 -0.1177 -0.1177 0.0842 0.1416 -0.0439 -0.1541
For Vector 6: 0.1541 -0.0439 -0.1416 0.0842 0.1177 -0.1177 -0.0842 0.1416 0.0439 -0.1541
For Vector 7: 0.1416 -0.1177 -0.0439 0.1541 -0.0842 -0.0842 0.1541 -0.0439 -0.1177 0.1416
For Vector 8: 0.1177 -0.1541 0.0842 0.0439 -0.1416 0.1416 -0.0439 -0.0842 0.1541 -0.1177
For Vector 9: -0.0842 0.1416 -0.1541 0.1177 -0.0439 -0.0439 0.1177 -0.1541 0.1416 -0.0842
For Vector 10: -0.0842 0.1416 -0.1541 0.1177 -0.0439 -0.0439 0.1177 -0.1541 0.1416 -0.0842