Problem 2. Let P and Q be twonxn matrices and I the n x n unit matrix. Assume that p2 = P and Q? = Q. (i) Show that (P® Q)? = PQ. (1) (ii) Show that (P (I- P))? = P 8 (I – P).

Q: 3 -4- -0- 4. 2.

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Let's find distance of objects travel from t=0 to t=45.

Q: 4. 3. 4, 8.

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Q: dactonive: 2. 2.

A: To factorise x2y2z2-16 ⇒x2y2z2-42 We know that a2-b2=a+ba-b Here a=xyz and b=4

Q: 8. 8. 3/ 2.

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Q: 8.20+2

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Q: Evaluate. 5(41)

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Q: 12 X-

A: The solution is given below

Q: 10 8/10 + 9 7/12=

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Q: Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time…

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Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

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Q: 4(2w-5) = 5w + 4 %3D

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Q: (5V3)2

A: Explanation of the solution is given below...

Q: 1. 2. 3.

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Q: 8 14

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Q: 619 d. 4 10

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Q: 6.3 3

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Q: ne distance between the points on the gi

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Q: 3) 24 12

A: We can find the value of x as below

Q: 81 (1) 420

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Q: d 6

A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: 3. 18

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Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Q: Diagonalize the following matrix.

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Q: 3. 2-1 da

A: Use the product rule to determine the derivative for the given…

Q: 10 4 2.

A: Solution-

Q: 6. 3 (2s+5)³

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Q: 12 10 6. X%=

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Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: - 2 4. - 3 V22 4 2/7 41M

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Q: What is the product of 3 and 3?

A: To find the product of given irrational numbers.