|(a1 + b11) a12 A13 |(а, + bz1) а аз |(a31 + b31) a32 Az3| |а11 а12 ајз |bi1 a12 ајз| |а1 а22 азз| + |b21 а22 аз |аз аз2 аз3 |b31 аз2 аз1 азз!

Q: a a +1 2² (² + ¹ + x² = 1 [(¹-x)² + (1 + x)² ] F1 2 2 2

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Q: Justify the equations in either by deriving them from formulas.

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Q: Prove that (x - i) = > xi i=1

A: We will prove the following result.

Q: 1+ sin 0 csc0+1 1-sin 0 csc0–1 II

A: We have to prove the identity.

Q: [L,,2] - [D,C]

A: Since all are  represent  unit vector .

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

A: The answer provided below has been developed in a clear step by step manner.

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Q: Please prove statement below by CONTRADICTION

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Q: 2. Prove: A – B = ANB

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Q: Verify that v2+ V5 is algebraic over Q.

A: Algebraic number :- An algebraic number is a number that is a root of a non-zero polynomial in one…

Q: .

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Q: Show that (AB)¹ = BTA¹ if A = 2 0 2 0 and B = -1 1 15) -3 1 -1 -1 2 2). a

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Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

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Q: verify that (AB)T = BTAT

A: Given matrices: Now,

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Q: What is Rolles Theorem and how do you find "c"?

A: What is Rolle’s Theorem and how do you find c

Q: State and prove Littlewood's Third Principle

A: Littlewood's Third Principle, or the law of iterated logarithm, can be understood intuitively as…

Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: Prove that A-B=An(-B) = (-B) – (-A) = −[(-A) U B]. Also, give three expressions for An B and AU B,…

A: Difference of sets: Given two sets A and B, the difference A−B is defined as the set of all elements…

Q: -5² + 3(¯5)² 50 O -50 O 49 O -49

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Q: a² + y dyda = It is true that + y dzdy. True False Reset Selection

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Q: does that mean that the property i provided doesn't exist?

A: The answer is in step 2.