In given example, how can I find multiplication of all c matrices (c1, c2, c3, c4, c5) in a 'for' loop?

a=[1 2 3 4 5]; c=[]; for i=1:5 b=[1 2; 6 5]*a(i); c=[c b] end

Answer 1

[Dyuman Joshi]

Finding c1*c2*c3*c4*c5

a=[1 2 3 4 5];c=1;
for i=1:5
    b=[1 2; 6 5]*a(i);
    c=c*b;
end
c

c = 2×2

504120 504240 1512720 1512600

[MOHD UWAIS]

why c=1

here c is space matrix of size 2x2.

[Dyuman Joshi]

I have defined c=1 for the calculation that you desired via a for loop.

So, the required output is y=c1*c2*c3*c4*c5

After c=1;

The loop run as

i=1;
c=c*c1=1*c1=c1;
i=2;
c=c*c2=c1*c2;
i=3;
c=c*c3=c1*c2*c3;
i=4;
c=c*c4=c1*c2*c3*c4;
i=5;
c=c*5=c1*c2*c3*c4*c5;

Which is what is desired.

You can manually verify the result as well

a=[1 2 3 4 5];c=[];
for i=1:5
    b=[1 2; 6 5]*a(i);
    c=[c b];
end
c1=c(1:2,1:2)

c1 = 2×2

1 2 6 5

c2=c(1:2,3:4)

c2 = 2×2

2 4 12 10

c3=c(1:2,5:6)

c3 = 2×2

3 6 18 15

c4=c(1:2,7:8)

c4 = 2×2

4 8 24 20

c5=c(1:2,9:10)

c5 = 2×2

5 10 30 25

cm=c1*c2*c3*c4*c5

cm = 2×2

504120 504240 1512720 1512600