What is the 2x2 identity matrix?

Answers

Answer 1
Answer:

Answer:

a matrix with 1's in the main diagonal and zeros everywhere. The identity matrix of order 2×2 is: [1 0 0 1].

Answer 2
Answer:

Final answer:

The 2x2 identity matrix is a square matrix with 1s on the main diagonal and 0s elsewhere. It serves as the multiplicative identity in matrix multiplication, leaving the original matrix unchanged when multiplied.

Explanation:

In mathematics, the 2x2 identity matrix, denoted by the symbol I or Id, is a square matrix containing elements that make it act as the multiplicative identity in matrix multiplication. Specifically, a 2x2 identity matrix is written as:

I = [1, 0; 0, 1]

Here, the numbers 1 are positioned on the main diagonal from the top-left to bottom-right (also termed as principal diagonal). The other elements, outside the main diagonal, are 0. This particular configuration results in special properties such as, when any matrix is multiplied by the identity matrix, the original matrix is unchanged. So, if we have a 2x2 matrix A, then multiplying by the identity gives AI = IA = A.

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Find the value of cos 7pi/6

Answers

The value of cos 7pi/6 = -√3/2.

cos 7 /6= cos ( + /6) = cos (/6) = -√3/2.

What is the value of cos?

cos The value of 1 degree is 0.9998476. .. .. Cos 1 degree radians are written as cos (1 ° x π / 180 °). H. cos (0.017453. .. .. ). This article describes how to find the value of cos1 using an example. Cos1 °: 0.9998476.

Trigonometric functions, fields of mathematics related to specific trigonometric functions, and their computational applications. There are six trigonometric functions commonly used in trigonometric functions. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), second (sec), and cosecant (CSC).

A function of arc or angle (sine, cosine, tangent, cotangent, second, cotangent, etc.) is most easily expressed by the ratio of the pair of sides of a right triangle.

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Answer: -√3/2

Step-by-step explanation: cos 7 /6= cos ( + /6) = cos (/6) = -√3/2

What is the slope of the line that contains the points (2,-5) and (-4,-1)

Answers

Your rise over run is (-6,4).

Josh went to a local barber to get his haircut. It cost $18 for the haircut. Josh tipped the barber 15%. What was the total cost of the haircut including tip?

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$20.70

Step-by-step explanation:

15% of 18 is 2.7 so 18 + 2.7 = 20.70

What is the converse of the following conditional?If a point is in the first quadrant, then its coordinates are positive

a. If a point is in the first quadrant, then its coordinates are positive
b. If the coordinates of a point are positive, then the point is in the first quadrant
c. If the coordinates of a point are not positive, then then the point is not in the first quadrant
d. If a point is not in the first quadrant, then the coordinates of the point are not positive.

Answers

The answer is B because the converse just flips the two phrases within the statement.

Answer:

b. If the coordinates of a point are positive, then the point is in the first quadrant

Step-by-step explanation:

Point K on the number line shows Kelvin's score after the first round of a quiz: A number line is shown from negative 10 to 0 to positive 10. There are increments of 1 on either side of the number line. The even numbers are labeled on either side of the number line. Point K is shown on 3. In round 2, he lost 9 points. Which expression shows how many total points he has at the end of round 2? 3 + (−6) = −9, because −9 is 6 units to the left of 3 3 + 6 = −9, because −9 is 6 units to the left of 3 3 + (−9) = −6, because −6 is 9 units to the left of 3 3 + 9 = −6, because −6 is 9 units to the left of 3

Answers

Answer:

The correct option is;

3 + (-9) = -6, because -6 is 9 units to the left of 3

Step-by-step explanation:

The given information are;

Kelvin's score after the first round is shown at point K on the number line

The range of numbers on the number line = -10 to +10

The position of point K after the first round = +3

The number of points Kevin lost in the second round = 9 points

Therefore, Kevin's cumulative score = +3 - 9 = -6

Therefore, the expression that shows how many total points he has at the end is of round 2 = 3 + (-9) = -6, because -6 is 9 units to the left of 3.

What is the product if 3/5 and 10

Answers

The product of (3)/(5) and 10 is 6. 
This is the product of 3/5 and 10 is 6