Wood Matrix

Please help with this math problem (involves a matrix)?

There are five students in Mr. Planck's wood working class learning the value of courtesy. Each student was in need of a different tool that he or she had neglected to bring to class. Fortunately, another classmate was able to help out by lending each student the missing tool. From the clues, determine the tool each person lent, as well as the person to whom he or she lent it?

The way you do this is to set up matrices for the various
combinations of borrowers/lenders/tools

So, lets create a matrix with borrowers as columns and lenders as
rows
C M R S V
C _ _ _ _ _
M _ _ _ _ _
R _ _ _ _ _
S _ _ _ _ _
V _ _ _ _ _

Nobody lends to themselves to you can mark off those combinations

C M R S V
C X _ _ _ _
M _ X _ _ _
R _ _ X _ _
S _ _ _ X _
V _ _ _ _ X

Chet didn't lend to Vanessa, and Vanessa and Melissa didn't
lend to any men, so you can mark those off

C M R S V
C X _ _ _ X
M X X X _ _
R _ _ X _ _
S _ _ _ X _
V X _ X _ X

Melissa lent to someone who lent to a man, so she couldn't
lend to Vanessa (who only lent to a woman)

C M R S V
C X _ _ _ X
M X X X _ X
R _ _ X _ _
S _ _ _ X _
V X _ X _ X

So Melissa lent to Stella, you can now mark off all other lenders
in Stella's column

C M R S V
C X _ _ X X
M X X X _ X
R _ _ X X _
S _ _ _ X _
V X _ X X X

This reveals that Vanessa lent to Melissa, so you mark off
the rest of the Melissa column

C M R S V
C X X _ X X
M X X X _ X
R _ X X X _
S _ X _ X _
V X _ X X X

and we get that Chet lent to Roger, so we mark off the rest of that
column

C M R S V
C X X _ X X
M X X X _ X
R _ X X X _
S _ X X X _
V X _ X X X

Now we remember that the person that Melissa lent to (Stella)
lent to a man, so this must be Chet. Roger must therefore have
lent to Vanessa, giving us this final matrix

C M R S V
C X X _ X X
M X X X _ X
R X X X X _
S _ X X X X
V X _ X X X

To solve the rest you need 2 more tables that match up
borrowers to tools and lenders to tools. Because you know
that Melissa lent to Stella, you know that Stella lent the
chisel to Chet, and that Melissa lent the handsaw to Stella.

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