MTH 266 T/F Practice Exam 2 Question
and answers correctly solved
2025/2026
If A and B are 2 × 2 with columns a1, a2 and b1, b2 then
AB = [a1b1, a2b2]. - correct answer ✔FALSE Matrix multiplication is "row by
column".
Each column of AB is a linear combination of the columns of
A using weights from the corresponding column of B. - correct answer ✔FALSE
Swap A and B then its true
AB + AC = A(B + C) - correct answer ✔TRUE Matrix multiplication distributes
over addition.
A^T + B^T = (A + B)^T - correct answer ✔TRUE See properties of transposition. Also should be able to
think through to show this. When we add we add corresponding entries, these will remain
corresponding entries after transposition.
The transpose of a product of matrices equals the product of their transposes in the same order. -
correct answer ✔FALSE The transpose of a
product of matrices equals the product of their tranposes in
the reverse order.
and answers correctly solved
2025/2026
If A and B are 2 × 2 with columns a1, a2 and b1, b2 then
AB = [a1b1, a2b2]. - correct answer ✔FALSE Matrix multiplication is "row by
column".
Each column of AB is a linear combination of the columns of
A using weights from the corresponding column of B. - correct answer ✔FALSE
Swap A and B then its true
AB + AC = A(B + C) - correct answer ✔TRUE Matrix multiplication distributes
over addition.
A^T + B^T = (A + B)^T - correct answer ✔TRUE See properties of transposition. Also should be able to
think through to show this. When we add we add corresponding entries, these will remain
corresponding entries after transposition.
The transpose of a product of matrices equals the product of their transposes in the same order. -
correct answer ✔FALSE The transpose of a
product of matrices equals the product of their tranposes in
the reverse order.
