Elementary mathematics-matrix multiplication

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Elementary Mathematics

1. Let1409_Untitled.png and 1787_Untitled.pngc=3 ,d=5 then verify the formula 

a) (A+B)t=At=Bt

b)c(A+B)=c.A+c.B

c)(c+d).A=c.A+d.A

2. Show the matrix 103_Untitled.pngis a singular matrix
3. Calculate the inverse of 1902_Untitled.png
4. Calculate the determinant of the given matrices  1500_Untitled.png

5. A) Let 1447_Untitled.png and 1076_Untitled.png then calculate  (i.e. matrix multiplication.

B) Let 2274_Untitled.pngand 1189_Untitled.pngthen calculate A,B,A+B,A-B.

7. a)Let 2484_Untitled.pngthan verify det(AT)=det(A) and

b) Let620_Untitled.pngand 1705_Untitled.pngthen verify det(AB)=det(A).det(B)

Reference no: EM131237544

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