p1_mrg_matrix4

352 days ago by calcpage123

#1) a=matrix(3,3,(1,2,3,4,5,6,7,8,-9));a 
        
[ 1  2  3]
[ 4  5  6]
[ 7  8 -9]
[ 1  2  3]
[ 4  5  6]
[ 7  8 -9]
det(a) 
        
54
54
b=matrix(1,3,(26,9,19));b 
        
[26  9 19]
[26  9 19]
c=b*a;c 
        
[195 249 -39]
[195 249 -39]
d=c*a**(-1);d 
        
[26  9 19]
[26  9 19]
#2) a=matrix(3,3,(2,0,4,0,1,4,1,1,-1));a 
        
[ 2  0  4]
[ 0  1  4]
[ 1  1 -1]
[ 2  0  4]
[ 0  1  4]
[ 1  1 -1]
b=matrix(3,1,(14,28,0));b 
        
[14]
[28]
[ 0]
[14]
[28]
[ 0]
a**(-1)*b 
        
[-3]
[ 8]
[ 5]
[-3]
[ 8]
[ 5]
#3) a=matrix(3,3,(1,1,1,.065,.07,.09,0,2,-1));a 
        
[  1.00000000000000   1.00000000000000   1.00000000000000]
[0.0650000000000000 0.0700000000000000 0.0900000000000000]
[ 0.000000000000000   2.00000000000000  -1.00000000000000]
[  1.00000000000000   1.00000000000000   1.00000000000000]
[0.0650000000000000 0.0700000000000000 0.0900000000000000]
[ 0.000000000000000   2.00000000000000  -1.00000000000000]
b=matrix(3,1,(45000,2925,0));b 
        
[45000]
[ 2925]
[    0]
[45000]
[ 2925]
[    0]
n(a**(-1)*b,digits=7) 
        
[     45000.00]
[-5.820766e-11]
[    0.0000000]
[     45000.00]
[-5.820766e-11]
[    0.0000000]
 
        
4050
4050