Matrix Answer

Answer is a matrix

Complete Code

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'PGcourse.pl');

Preamble

These standard macros need to be loaded.

Context('Matrix');

$A = Matrix([
    [ random(-5, 5), random(-5, 5), random(-5, 5) ],
    [ random(-5, 5), random(-5, 5), random(-5, 5) ],
]);

$B = Matrix([
    [ random(-5, 5), random(-5, 5), random(-5, 5) ],
    [ random(-5, 5), random(-5, 5), random(-5, 5) ],
]);

$answer = $A * ($B->transpose);

Setup

Call Context('Matrix') to switch to the Matrix context. MathObject matrices are constructed using the Matrix method. The matrix A has two rows and three columns, and is constructed by [ [row 1 entries], [row 2 entries] ], and this construction generalizes in the obvious way. If a matrix has only one row, such as B, then the outer brackets can be omitted. So it can be entered as [row 1 entries] or as [ [row 1 entries] ]. If $B = Matrix([a, b, c]), then the matrix $B->transpose is equivalent to Matrix([ [a], [b], [c] ]) which has an outer pair of brackets enclosing all of the rows, where each row encloses its single element with brackets.

BEGIN_PGML
Suppose

>> [``A = [$A]``] and [``B = [$B].``] <<

Evaluate the following matrix product.

[`A B^T =`] [_____]*{$answer}
END_PGML

Statement

This is the problem statement in PGML.

BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.