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: [[0,1],[1,0]] What is the geometric effect of this transformation? Choose 1 answer: A A reflection across the y axis B A reflection across the line y=x (c) A rotation about the origin by 90^(@) (D) A rotation about the origin by 180^(@)

Consider this matrix transformation:\newline[0110] \left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right] \newlineWhat is the geometric effect of this transformation?\newlineChoose 11 answer:\newline(A) A reflection across the y y axis\newline(B) A reflection across the line y=x y=x \newline(C) A rotation about the origin by 90∘ 90^{\circ} \newline(D) A rotation about the origin by 180∘ 180^{\circ}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Convergent and divergent geometric seriesright chevron icon

Full solution

Q. Consider this matrix transformation:\newline[0110] \left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \end{array}\right] \newlineWhat is the geometric effect of this transformation?\newlineChoose 11 answer:\newline(A) A reflection across the y y axis\newline(B) A reflection across the line y=x y=x \newline(C) A rotation about the origin by 90∘ 90^{\circ} \newline(D) A rotation about the origin by 180∘ 180^{\circ}
  1. Identify Matrix Transformation: Identify the matrix transformation.\newlineThe given matrix is:\newline\left[\begin{array}{cc}\(\newline0 & 1 (\newline\)1 & 0\newline\end{array}\right]\)
  2. Effect on Vector: Understand the effect of the matrix on a vector. Consider a vector (x,y)(x, y). Multiplying this vector by the matrix will result in a new vector (y,x)(y, x).
  3. Analyzing Transformation: Analyze the transformation.\newlineThe transformation swaps the xx-coordinate with the yy-coordinate. This is equivalent to reflecting a point across the line y=xy = x.
  4. Matching with Choices: Match the transformation with the given choices.\newlineThe transformation is a reflection across the line y=xy = x, which corresponds to choice BB.

More problems from Convergent and divergent geometric series

Question
Find the sum of the finite arithmetic series. ∑n=110(7n+4)\sum_{n=1}^{10} (7n+4)\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`
Get tutor helpright-arrow

Posted 2 months ago

Question
Type the missing number in this sequence: `2, 4 8`, ______,`32`
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of sequence is this? 2,10,50,250,…2, 10, 50, 250, \ldots Choices:Choices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the missing number in this pattern? 1,4,9,16,25,36,49,64,81,____1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_
Get tutor helpright-arrow

Posted 2 months ago

Question
Classify the series. ∑n=012(n+2)3 \sum_{n = 0}^{12} (n + 2)^3 \newlineChoices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the first three partial sums of the series.\newline1+6+11+16+21+26+⋯1 + 6 + 11 + 16 + 21 + 26 + \cdots\newlineWrite your answers as integers or fractions in simplest form.\newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the third partial sum of the series. \newline3+9+15+21+27+33+⋯3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form. \newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 3 months ago

Question
Does the infinite geometric series converge or diverge?\newline1+34+916+2764+⋯1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots\newlineChoices:\newline[A]converge\text{[A]converge}\newline[B]diverge\text{[B]diverge}
Get tutor helpright-arrow

Posted 2 months ago

View all (30)