Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Consider this matrix transformation: [[-3,4],[-3,2]] What is the image of [[-2],[2]] under this transformation?

Consider this matrix transformation:\newline[−34−32] \left[\begin{array}{ll} -3 & 4 \\ & \\ -3 & 2 \end{array}\right] \newlineWhat is the image of [−22] \left[\begin{array}{c}-2 \\ 2\end{array}\right] under this transformation?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Matrix vocabularyright chevron icon

Full solution

Q. Consider this matrix transformation:\newline[−34−32] \left[\begin{array}{ll} -3 & 4 \\ & \\ -3 & 2 \end{array}\right] \newlineWhat is the image of [−22] \left[\begin{array}{c}-2 \\ 2\end{array}\right] under this transformation?
  1. Matrix Multiplication: To find the image of the vector \begin{bmatrix}-2\2\end{bmatrix} under the transformation defined by the matrix \begin{bmatrix}-3 & 4\-3 & 2\end{bmatrix}, we need to perform matrix multiplication.
  2. First Element Calculation: The multiplication process involves taking the dot product of each row of the matrix with the vector. For the first element of the resulting vector, we multiply the first row of the matrix by the vector:\newline(−3×−2)+(4×2)=6+8=14(-3 \times -2) + (4 \times 2) = 6 + 8 = 14
  3. Second Element Calculation: For the second element of the resulting vector, we multiply the second row of the matrix by the vector: \newline(−3×−2)+(2×2)=6+4=10(-3 \times -2) + (2 \times 2) = 6 + 4 = 10
  4. Combining Results: Combining the results from the two steps above, we get the image of the vector \begin{bmatrix}-2\2\end{bmatrix} under the transformation as: \begin{bmatrix}14\10\end{bmatrix}

More problems from Matrix vocabulary

Question
Consider this matrix transformation:\newline[2−113] \left[\begin{array}{cc} 2 & -1 \\ 1 & 3 \end{array}\right] \newlineWhat is the image of [23] \left[\begin{array}{l}2 \\ 3\end{array}\right] under this transformation?
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider this matrix transformation:\newline[−243−1] \left[\begin{array}{cc} -2 & 4 \\ & \\ 3 & -1 \end{array}\right] \newlineWhat is the image of [−1−2] \left[\begin{array}{l}-1 \\ -2\end{array}\right] under this transformation?
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider this matrix transformation:\newline[−4−223] \left[\begin{array}{cc} -4 & -2 \\ 2 & 3 \end{array}\right] \newlineWhat is the image of [3−1] \left[\begin{array}{c}3 \\ -1\end{array}\right] under this transformation?
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider this matrix transformation:\newline[−1−24−1] \left[\begin{array}{cc} -1 & -2 \\ & \\ 4 & -1 \end{array}\right] \newlineWhat is the image of [3−2] \left[\begin{array}{c}3 \\ -2\end{array}\right] under this transformation?
Get tutor helpright-arrow

Posted 3 months ago

Question
Consider this matrix transformation:\newline[−113003−103] \left[\begin{array}{ccc} -1 & 1 & 3 \\ 0 & 0 & 3 \\ -1 & 0 & 3 \end{array}\right] \newlineWhat is the image of [253] \left[\begin{array}{c} 2 \\ 5 \\ 3 \end{array}\right] under this transformation?
Get tutor helpright-arrow

Posted 3 months ago

Question
True or False. Determine whether the statement is correct. {x∣x≥5}\{x\mid x \geq 5\} means that 88 can be a value for xx. \newlineTrue \newlineFalse
Get tutor helpright-arrow

Posted 2 months ago

Question
True or False. Determine whether the statement is correct. ＂XX is greater than or equal to 99 can be represented x≤9x \leq 9.＂\newlineTrue\newlineFalse\newline44. Previous
Get tutor helpright-arrow

Posted 2 months ago

Question
what is 3+3+6+83+3+6+8
Get tutor helpright-arrow

Posted 2 months ago

Question
已知 \newline△ABC\triangle ABC 中, \newlineAC=8AC=8,AB=41AB=\sqrt{41},BCBC 边上的高 \newlineAG=5AG=5,DD 为线段 \newlineACAC 上的动点, 在 \newlineBCBC 上截取 \newlineCE=ADCE=AD, 连接 \newlineAE,BDAE,BD, 则 \newlineAC=8AC=800 的最小值为\newlineAC=8AC=811 题图
Get tutor helpright-arrow

Posted 1 month ago

Question
Reread lines 1212−17-17. What adjectives used to describe Chicago revea he poet's attitude toward the residents of the city? Describe his attitude
Get tutor helpright-arrow

Posted 6 hours ago

View all (7)