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:

[[2,-3,1,-1],[-4,9,0,14],[0,0,1,3]] -. How to solve this!

[2−31−1−490140013] \left[\begin{array}{rrr|r} 2 & -3 & 1 & -1 \\ -4 & 9 & 0 & 14 \\ 0 & 0 & 1 & 3 \end{array}\right] \newline-. How to solve this!

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Domain and range of relationsright chevron icon

Full solution

Q. [2−31−1−490140013] \left[\begin{array}{rrr|r} 2 & -3 & 1 & -1 \\ -4 & 9 & 0 & 14 \\ 0 & 0 & 1 & 3 \end{array}\right] \newline-. How to solve this!
  1. Write Matrix: Write down the matrix to find its determinant.\newlineMatrix: [2−31 −490 001]\begin{bmatrix} 2 & -3 & 1 \ -4 & 9 & 0 \ 0 & 0 & 1 \end{bmatrix}
  2. Use Formula: Use the formula for the determinant of a 3×33 \times 3 matrix.det(A)=a(ei−fh)−b(di−fg)+c(dh−eg)\text{det}(A) = a(ei − fh) − b(di − fg) + c(dh − eg)
  3. Substitute Values: Substitute the values from the matrix into the formula.\newlinedet(A)=2(9×1−0×0)−(−3)(−4×1−0×1)+1(−4×0−9×0)\text{det}(A) = 2(9\times 1 - 0\times 0) - (-3)(-4\times 1 - 0\times 1) + 1(-4\times 0 - 9\times 0)
  4. Perform Calculations: Perform the calculations.\newlinedet(A)=2(9)−(−3)(−4)+1(0)\text{det}(A) = 2(9) - (-3)(-4) + 1(0)\newlinedet(A)=18−12+0\text{det}(A) = 18 - 12 + 0
  5. Add Final Determinant: Add up the results to get the final determinant.\newlinedet(A)=18−12\text{det}(A) = 18 - 12\newlinedet(A)=6\text{det}(A) = 6

More problems from Domain and range of relations

Question
Look at this set of ordered pairs: (3,18)(15,9)(13,14)(18,12)(3, 18) (15, 9) (13, 14) (18, 12) Is this relation a function?? Choices:[[yes][[\text{yes}][no]][\text{no}]]
Get tutor helpright-arrow

Posted 1 month ago

Question
Use the following function rule to find g(b+2) g(b + 2) . \newlineSimplify your answer. \newlineg(a)=4a+8 g(a) = 4a + 8 g(b+2)= g(b + 2) = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Thanks to an online typing course, Audrey has become a much faster typist. The function f(x) f(x) gives how many words she can type in x x seconds.\newlineWhat does f(45)=68 f(45) = 68 tell you?\newlineChoices:\newline(A) Audrey can type 68 words in 45 seconds.\text{Audrey can type \( 68 \) words in \( 45 \) seconds.} \newline(B) Audrey can type 45 words in 68 seconds.\text{Audrey can type \( 45 \) words in \( 68 \) seconds.}
Get tutor helpright-arrow

Posted 1 month ago

Question
What is the domain of this relation? \newline(4,−3)(−3,−10)(−5,5)(9,−2)(9,−1)(4,-3) (-3,-10) (-5,5) (9,-2) (9,-1) \newlineChoices: \newline(A) {−5,−3,4,9}\{-5,-3,4,9\} \newline(B) {−5,−3,4,5,9}\{-5,-3,4,5,9\} \newline(C) {−3,−2,4,9}\{-3,-2,4,9\} \newline(D) {−3,−2,5,9}\{-3,-2,5,9\}
Get tutor helpright-arrow

Posted 1 month ago

Question
Every day at lunch, Vicky swims laps in the pool for one hour. The faster her speed, the more laps she is able to swim in the hour. s=s = the speed at which Vicky swims l=l = the number of laps Vicky is able to swim in one hour Which of the variables is independent and which is dependent?\newlineChoices:\newline[A]s is the independent variable and l is the dependent variable [A] s \text{ is the independent variable and } l \text{ is the dependent variable } \newline[B]l is the independent variable and s is the dependent variable [B] l \text{ is the independent variable and } s \text{ is the dependent variable }
Get tutor helpright-arrow

Posted 2 months ago

Question
Use the following function rule to find f(4) f(4) .\newlinef(x)=9−x f(x) = 9 - x \newlinef(4)= f(4) =
Get tutor helpright-arrow

Posted 1 month ago

Question
Simplify to create an equivalent expression.\newline−2(−5n+6)+5(2−7n)-2(-5n+6)+5(2-7n)\newlineChoose 11 answer:\newline(A) −2-2\newline(B) −25n+10-25n+10\newline(C) −25n+2-25n+2\newline(D) −25n−2-25n-2
Get tutor helpright-arrow

Posted 4 months ago

Question
Simplify to create an equivalent expression.\newline3n+2(−2n−1)3n+2(-2n-1)\newlineChoose 11 answer:\newline(A) −n+2-n+2\newline(B) n+2n+2\newline(C) −n−2-n-2\newline(D) n−2n-2
Get tutor helpright-arrow

Posted 4 months ago

Question
Simplify to create an equivalent expression.\newline5(10k+1)+2(2+8k)5(10k+1)+2(2+8k)\newlineChoose 11 answer:\newline(A) 66k+966k+9\newline(B) 64k+964k+9\newline(C) 66k+5466k+54\newline(D) 64k−964k-9
Get tutor helpright-arrow

Posted 2 months ago

Question
Simplify to create an equivalent expression.\newline5+7(8r−2)5+7(8r-2)\newlineChoose 11 answer:\newline(A) 56r+356r+3\newline(B) 56r+956r+9\newline(C) 8r−98r-9\newline(D) 56r−956r-9
Get tutor helpright-arrow

Posted 4 months ago

View all (38)