We found a counterexample, so the statement is false.
<h3>
Is the statement true?</h3>
Let's use the matrix:
![\left[\begin{array}{cccc}-2&0&0&0\\0&1&0&0\\0&0&1&0\\ 0&0&0&1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-2%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C%200%260%260%261%20%5Cend%7Barray%7D%5Cright%5D)
This is a 4x4 matrix with determinant equal to -2.
The inverse matrix is:
![\left[\begin{array}{cccc}1/2&0&0&0\\0&-1&0&0\\0&0&-1&0\\ 0&0&0&-1 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%2F2%260%260%260%5C%5C0%26-1%260%260%5C%5C0%260%26-1%260%5C%5C%200%260%260%26-1%20%5Cend%7Barray%7D%5Cright%5D)
If we multiply it by 2, we get:
![\left[\begin{array}{cccc}1&0&0&0\\0&-2&0&0\\0&0&-2&0\\ 0&0&0&-2 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%26-2%260%260%5C%5C0%260%26-2%260%5C%5C%200%260%260%26-2%20%5Cend%7Barray%7D%5Cright%5D)
The adjoint of that is the original matrix, actually:
Which we already know, has a determinant of -2.
So the statement is false, as we found a counterexample.
If you want to learn more about matrices:
brainly.com/question/11989522
#SPJ1
I am sure the correct answer is x=0.38629436…hope this help you
Answer: 3/4
Step-by-step explanation: 8/5×15/32 equals 3/4
8/5 * 15/32= Now you must use inverse operations five goes into 15 3Times 8goes into 32 4 times Crossout eight and five cross out 15 and 30 to 3×1 = 3 and 4×1 = 4 so 8/5×15/32 equals 3/4
Answer:
The set of rigid motions could be used to show that triangle ABC is congruent to triangle DEF is " a horizontal translation and a vertical translation" ⇒ D
Step-by-step explanation:
- Horizontal translation means move the object right or left
- Vertical translation means move the object up or down
- Translation horizontally or vertically not change the direction of the object or its size, then the image is congruent to the original object
- Rotation and reflection change the direction of the object but do not change its size
∵ Δ DEF has the same direction as Δ ABC
∵ Δ DEF is congruent to Δ ABC
∴ The translation is using
∵ Δ DEF is right and below to Δ ABC
∴ There are horizontal and vertical translation
The set of rigid motions could be used to show that triangle ABC is congruent to triangle DEF is " a horizontal translation and a vertical translation"
U + XY When U = 2, X=9, and Y=6
2 + 9 x 6
Remember PEMDAS (parentheses, exponent, multiply, divide, add, subtract)
2 + 54
56 would be your answer
