The integer illustrate that nul A is a subspace of R for p= 3 and Col A is a subspace of R for q = 4.
It should be noted that an integer simply means a whole number that can either be positive, negative, or zero.
From the complete question, there's a 4 × 3 matrix and in this case, the function is defined such that T(x) = Ax.
The null space of A is the subspace of R³, therefore, p = 3. Also, the column of A belongs to R⁴. Therefore, q = 4.
In conclusion, p = 3, and q = 4.
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