ABSTRACT

Define the following complex numbers using Maxima

z = 4 − 1 2 i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/eq36.tif"/>

NB: The equal sign “=” should be replaced by two dots “:”

“i” is defined as constant but “i” here is a complex constant function since

i 2 = 1, so we have to write “%i”

Steps:

Go to Maxima

Type in the command z: 4 − ½*% i

Press on Shift Enter

https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_1.jpg"/>

74 w = 9 + 5 2 i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/eq37.tif"/> https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_2.tif"/>

r = 1 − 2i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_3.tif"/>

t = 8 − 3i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_4.tif"/>

b = 5 + 2i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_5.tif"/>

j = i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_6.tif"/>

q = 3 + 6i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_7.tif"/>

75 u = −2 + i https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429469718/452c29b0-ff40-40a3-bc1d-8e4f0d5b3321/content/ufig3_8.tif"/>