Matrix transformations: check 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}12 & 13\\0 & 15\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the area scale factor of A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}13 & 14\\0 & 16\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the area scale factor of A.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: check 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}13 & 14\\0 & 16\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the nonzero finite slope of an invariant line of A through the origin.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}14 & 15\\0 & 17\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the nonzero finite slope of an invariant line of A through the origin.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: check 3
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}14 & 15\\0 & 17\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (1,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 16\\0 & 18\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (1,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: check 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}15 & 16\\0 & 18\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (2,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Matrix transformations: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
\(A=\left[\begin{matrix}16 & 17\\0 & 19\end{matrix}\right],\ B=\left[\begin{matrix}1 & 0\\1 & 1\end{matrix}\right]\). Use column vectors; AB means B acts first.
Find the (2,1) entry of AB.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.