Name:
[2pts] Prove or give a counterexample: {[x,y,z]:x,y,z∈R,x+y+z+1=1} is a vector space
[2pts] Compute the following matrix vector products:
[■(2&1@1&3)]*[■(4&2)]
[■(1&2&4@3&1&2@1&5&1)]*[■(1&3&2)]
[3pts] Compute the following matrix multiplications:
[■(2&1@1&3)][■(4@2)]
[■(1&2&4@3&1&2@1&5&1)]*[■(1@3@2)]
[■(1&5&4@2&3&2)][■(3@1@2)]
[3pts] Compute the following matrix multiplications using a transpose:
[■(1&2&4@3&1&2)] [■(1&3&2)]^T
[■(1&2@3&1@1&5)]^T [■(2&0&5)]
[■(1&3&2)] [■(1&3&2)]^T
