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MTH100 General Mathematics Assignment 01 Spring 2021 Solution / Discussion

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MTH100 General Mathematics Assignment 01 Spring 2021 Solution link 

MTH100-Assignment-1-Solution-Spring%202021.pdf

 

 

 

 

 

 

 

1−3i

1+2i


MTH100 Assignment 1 Solution Spring 2021

Question No 1 Solution

=1− 3i ×1− 2i

1+ 2i

=

 

=

1− 2i

 

=(1− 5i − 6(−1) 1+ 4i2

=−5 − 5i

1+ 4

=5(−1−i)

5

=−1−i

=

=

=

 

 

 

 

x +yz = 6

3x−2y+z=−5 x+3y−2z=14 Agumentform

 

 

 

 

Question No 2 Solution

⎡1   1    −1      6⎤

3  −2   1    −5

⎢                       ⎥

1    3       −2         14⎥

 

⎡1   1    −1       6⎤

3  −5  1     − 23R − 3R , RR

                   2            1     3        1

0     2         −1      8⎥

⎡1   1    −1       6    ⎤

0   1    4      23 1R

⎢               5        5⎥    52

0   2    −1         8

⎣                            ⎦

1   1    −1         6

⎢                            ⎥

0   1    −4      23⎥

R − 2R

           5      5  3           1

0  0      3      −6   

⎢⎣           5         5⎥⎦

⎡1   1    −1         6⎤

0   1    −4      23 5R

⎢               5        533

0  0       1      − 2

⎣                            ⎦

Equations

x +y +z=6                        (1)

y4 z=23                 (2)

5        5

z=−2                               (3)

Put the value of z in (2)

y +8 =23

5      5

y =15 ⇒ 3

3

Put the value of y and z in (1) x+3+2=6

x = 1

x = 1, y = 3, z =−2

 

THE END

 

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