Find |A|, [B], A + B, and JA + BỊ. Then verify that |A| + |B| = |A + BỊ. 1 7 A = 1 -1 0 0 1 -1 B = 7 1 1 0 1 1 1 1 (a) (b) |B| (c) A + B (d) |A + BỊ

Q: The scale on a blue is 1/2 inch : 5 feet. The height of the living room ceiling is shown as 2 1/2…

A: Given that scale on a blue is 0.5 inches =5 feet. So, 2.5 inches=2.5×50.5 feet=25 feet

Q: Are any of these expressions are valid? State your reason for each. If an expression is invalid, you…

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Q: Let A - -5 -2 -5 -10 -5 -7 -20 -7-22| Solve the equation using an LU factorization of and b - Ax = b…

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Q: Suppose that |u xv = 7. Find ||(5u + 6v) × (3u - 9v)||-

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Q: 4+ 3i 3 — 5і (b) 2+ 3i 2 – 3i

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Q: Prove that ax² bx C (x-a) (x −b) (x −c) * (x − b) (x − c ) + x = c + - x³ (x-a)(x-b)(x-c) =

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Q: 2 Express ( √5 - √5₂) in 2 simplest a + bi form.

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Q: Assume that u v = 8, ||u|| = 6, and ||v|| Calculate the value of (3u + v) (u - 5v). (Give your…

A: u·v=8u=6, v=10

Q: |z+2i|=|z+1- 3i|

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Q: nd a, b e R such that 4 5 a + bi 1- 2i i - 2 i- 2

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Q: Prove that if a E Z then the only positive divisor of both a and a + 1 is 1.

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Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

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Q: (a) Show that if a > 0, then 1/a> 0 and 1/(1/a) = a. (b) Show that if a <b, then a < (a+b) < b.

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Q: Find the value of a such that (3 + 4i)(1+2i) (1 + 3i) 9 = = = q(1 + i).

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