92 Activities
Exploring a Matrix
This activity shows you how to perform several matrix operations.
Exploring a 3x3 Matrix
Perform these steps to generate a random matrix, augment and find the
identity matrix, and then solve to find an invalid value of the inverse.
8. Multiply both sides of the equation by
4a
2.
9. Take the square root of both sides of the
equation with the constraint that
a>0 and
b>0
and x>0.
10. Solve for
x by subtracting b from both sides
and then dividing by 2a.
Note: This is only one of the two general
quadratic solutions due to the constraint in
step 9.
1. On the Home screen, use
RandSeed to set
the random number generator seed to the
factory default, and then use
randMat( ) to
create a random 3x3 matrix and store it in a.
2. Replace the
[2,3] element of the matrix
with the variable x, and then use the
augment( ) function, to augment the 3x3
identity to
a and store the result in b.