A square matrix U E CNN is unitary if UTU = UU = I, where I is the NX N identity matrix. Prove that a square matrix is unitary if and only if the rows and columns of U form an orthonormal basis for CN.

Q: 1a) Which group of candles could be represented by the graph? Which candle goes with which line?…

A: Given:A graph of three candles named X, Y and Z is givenTo find:group that is represented by…

Q: Beginner's Class      "Hey, Pasha," called Séamus as he crossed the parking lot. "What are you doing…

A: The objective of the question is to match each character in the story to their role in developing…

Q: Given the system G and the system H where the output of G is the input to H, determine the transfer…

A: We will use concept of composite of function to solve it.

Q: Suppose that the function is defined, for all real numbers, as follows. if √(x) = {-x+4 #x<1 2x+1 if…

A: The given function is

Q: Drag each tile to the correct box. Put the steps in order to show how an author introduces and…

A: The objective of the question is to understand the sequence of steps an author follows to introduce…

Q: Let f(x) = 3x2 + |x| - 3. Determine whether f(x) is even, odd, or neither.

A: The objective of this question is to determine whether the function f(x) = 3x^2 + |x| - 3 is even,…

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A: Yes, it is possible to have exactly 34 three-rooms, 33 two-rooms, and 55 one-rooms apartments as a…

Q: Tutorial Exercise Factor the trinomial. 5x² + 16x + 3

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Q: The following equation is given. Complete parts (a) (c). x³ - 2x² -25x+50=0 X

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Q: Find the general solution for the following differential equation: 5y - 6x + (5x+8y)y' = 0 (Yes or…

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Q: Blueberries are on sale for $2.80 per pint. The regular price is $3.50 per pint. What is the percent…

A: The objective of this question is to find the percent decrease in the price of blueberries.

Q: What is the numerical expression of 126 less then -68

A: The objective of the question is to find the numerical expression of '126 less than -68'. In…

Q: Let R and S be rings, and let r ER and s E S. Prove that (r, s) is a unit in R × S if and only if r…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: True or false (with reason if true or example to show it is false): (a) A square matrix has no free…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: 4. Prove that log (A)³ = 5 log (A). You cannot do this by plugging in numbers or by using the…

A: To prove that .

Q: x² + x − 12 (x-2)(x + 6) (x + 4)(x - 3) (x-4)(x + 3) (x - 12)(x + 1)

A: We have to find the factor of quadratic equation

Q: Define a ring homomorphism 4: R[x] → RX R, (ƒ(x)) = (fƒ(0), ƒ(1)) In other words, y maps f(x) to its…

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Show that 1+x 1 1 1 1 1-x 1 1 1 1 1+z 1 1 1 1 1 - 2 = x² ₂² = HINT: Use the properties of…

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Q: Calculate the maturity value of a simple interest, one-year loan of $5600. The interest rate is…

A: The objective of this question is to calculate the maturity value of a simple interest loan. The…

Q: Question At a sporting goods store, the price of a bicycle is $650. During a sale, this price is…

A: The objective of this question is to find the sale price of the bicycle after a 45% markdown from…

Q: You worked 53 hours last week. If your hourly wage is AED 80 and you are paid overtime at a rate of…

A: Total working hours  hour.The hourly wage is The payment for overtime is at a rate of…

Q: Compute the scalar triple product u ( x w) of the vectors u = (0, 7, 6 (-8,0, -3), and = (3, -8,9).…

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Q: 1. Consider (a) (b) (c) [ (d) (e) M = 13 5 247 89 a Compute M| by unfolding the matrix according to…

A: The objective of this question is to compute the determinant of a given matrix M, determine the…

Q: Write the inequality using interval notation and illustrate the inequality using the real number…

A: Inequalities and corresponding intervals are given below.

Q: Select the correct texts in the passage. Which three parts of the passage most build an excited…

A: The objective of the question is to identify the three parts of the passage that most contribute to…

Q: Inaugural Addressby Nelson Mandela (excerpt) We trust that you will continue to stand by us as we…

A: The objective of the question is to understand the reason behind Nelson Mandela's choice of…

Q: 2. (§1.1) Sketch the following set of points in the x-y plane. {(x, y) = R²: (y - x²) (y + x²) < 0}.

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Q: Solve the system of equations by substitution. Show all we each system. 5) 4x + 3y = 1 y = 3x - 4

A: The objective of this question is to solve the system of equations using the method of substitution.…

Q: 17. MODELING WITH MATHEMATICS Three orders are placed at a pizza shop. Two small pizzas, a liter of…

A: Two small pizza, a liter of soda and a salad cost One small pizza, a liter of soda and three salads…

Q: it for errors before submitting it. Be sure to explain the steps you use in your response to the que…

A: The objective of the question is to understand the process of finding the composite function…

Q: adapted from The Underdogsby Mariano Azuela Some men on horseback rode up, shouting and sweating;…

A: The question is asking us to determine the time period of the text based on the setting described in…

Q: Select the correct texts in the passage. Which two details are most important to include in a…

A: The objective of the question is to identify the two most important details that should be included…

Q: 1. Consider (a) (b) (c) [ M = 1 3 5 247 89 a Compute M| by unfolding the matrix according to the…

A: As per our guidelines we are supposed to answer only 3 subparts of the given question so kindly…

Q: 2. SECTION A: Factorising a quadratic expression (second order trinomial). Az +Bz+C. Study the…

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Q: If a line has a slope of r and passes through the point the line. (½-1, ¹), write the equation of

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Q: from Thomas Jefferson’s Second Inaugural AddressMarch 4, 1805 On taking this station on a former…

A: The objective of the question is to identify the tone conveyed in the given sentence from Thomas…

Q: Write the equation of the line that passes through the given point and has the given slope. 5 (-1,…

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Q: y=1200 / (1+0.3)

A: The objective of the question is to determine whether each function represents exponential growth or…

Q: Suppose a ceiling fan manufacturer has the total cost function C(x) = 33x + 800 and the total…

A:

Q: Najabhai

A: The objective of this question is to compute the Fourier series of a discontinuous square hat…

Q: A Tale of Two Cities by Charles Dickens (adapted excerpt) The story takes place during the time of…

A: The objective of the question is to identify the two details in the text that reveal Doctor…

Q: Write an exponential equation for the graph shown below. 987654 6 B I U 3 -9-8-7-6-5-4-3-2-1. Type…

A: Consider the graph

Q: Manuben

A: The objective of the question is to prove the given equation for a graph G with t components and k…

Q: 5. Find all rational zeros and write P(x) in fully-factored form. 8x +40 3. 2 P(x) = 2x² - 10x²

A: To find all rational zeros and to write  in fully-factored form.

Q: How many determined (basic) variables does each augmented matrix have? a. One b. Two C. Two d. Four…

A: The objective of the question is to determine the number of basic variables in each of the given…

Q: Given the matrix A = A³ 88 TO 0 -3 find A³.

A: Given the matrix .To find .

Q: Dulce et Decorum Est*by Wilfred Owen Bent double, like old beggars under sacks, Knock-kneed,…

A: The objective of the question is to understand how the choice of words (diction) in the closing…

Q: Find the product of 3589 and 47 show calculations

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Q: Find the decimals  2.3² + 4.1² 0.18/0.6-0.003

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Q: excerpted from the speech Citizenship in a Republic The Man in the ArenaBy Theodore Roosevelt 1…

A: The objective of the question is to understand how a specific sentence from Theodore Roosevelt's…