How to raise a decimal numbers as power of A??

Hello everyone..I am trying to raise decimal values which is ranging from(0.1:0.01:1) to the power of A(3x3 matrix).(eg.. A^[0.1:0.01:1]). I cannot find my answer anywhere.can anyone help me out..Thanks in advance..

[Mehmed Saad]

You mean first you want A^0.1 then A^0.11 and goes on to A^1 ?

[Sabari G]

Yes

[Mehmed Saad]

use for loop

[Sabari G]

when I use for loop,it takes only one value(i.e i=10) for power. But i need each value starting from 0.1,0.11 upto 10. I hereby attach my code for your reference.

Answer 1

[Ameer Hamza]

If you want to do the element-wise exponential operation, the following will work on R2016b and onward versions

B = A.^reshape((0:0.1:1),1,1,[]);

For matrix exponentiation

B = arrayfun(@(k) {A^k}, 0:0.1:1)

[Sabari G]

Thank you for your response.. But I dont want element wise operation

[Ameer Hamza]

Please check the updated answer for the matrix exponentiation.

[Sabari G]

Thank you for your help!!

[Ameer Hamza]

Glad to be of help.

Answer 2

[Stephen23]

Either use a loop or cellfun:

>> A = [1,5,3;4,5,9;7,8,9];
>> V = 0.1:0.11:10;
>> C = arrayfun(@(n)A^n,V,'uni',0);

And checking:

>> C{1} % 1st output
ans =
       1.1085                    0.27536 + 2.0123e-16i     -0.12792 - 1.6129e-16i
    -0.081108 - 2.2204e-16i         1.11 + 2.7756e-17i       0.2149 +  6.793e-17i
      0.20384 - 1.0408e-17i     0.023577 + 2.2551e-17i       1.2353 - 1.3849e-17i
>> C{2} % 2nd output
ans =
       1.1854                    0.64417 + 9.7145e-17i     -0.25035 - 7.7865e-17i
     -0.13946                     1.2253 + 2.7756e-17i      0.54956 - 2.2247e-17i
      0.50717 - 2.7756e-17i      0.12473 + 1.0408e-17i       1.5344 + 2.9295e-18i
>> C{3} % 3rd output
ans =
       1.2109 - 2.2204e-16i       1.0774 + 1.1102e-16i     -0.32664 + 1.1886e-18i
     -0.13857 - 2.2204e-16i       1.3464 + 5.5511e-17i       1.0074 + 4.5683e-17i
      0.90535                    0.33962 + 1.3878e-16i       1.8931 - 1.1124e-16i
etc.

[Sabari G]

Thank you for your guidance!!