[Given x₁ = [¹1]¹, ₁ = [¹1¹] ₂ = [100] -me that {Xi), form {x;}. basis vectors. 121,3 reciprocal basic vectors. Express the vector 3 1J⁰ in terms of these basis vectors.

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Q: 1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4 Identity…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

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A: Consider vectors a=(2,-8) , b=(-1,4) and c=0. We have to determine the non-zero scalars alpha and…

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

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Q: 3. Write ū as a sum of vectors, one in the direction of and another orthoganal to a. 18 [4] -5 [3³]

A: The given vector .The objective is to write the vector as a sum of vectors one in the direction of…

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A: Introduction: When a basis is provided, one can represent a vector belonging to the precise vector…

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Q: (a) 3u7 u3 (b) (c) u2 (-2u5) (d) 2u2 : (-u5)

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Q: Write down two unique non-zero vectors à and b in the 5th dimension, R5 (no entry should be 0). a.…

A: The main objective is write two non zero vectors in ℝ5. Find the given values.

Q: 2. a. In each part express the vector as a linear combination of 2+x+4x², p₂ = 1 − x + 3x², and p3 =…

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