Let L: R → R' be the reflection with respect to the plane spanned by {-4 -1}. Find the matrix of L. Hint: First find the matrix [L]B in a basis that contains the two given vectors and their crossed product. Then use transition matrices. [L] =

Q: et B= (b,,b2.b3) be a basis for vector, space V. Let T:V V be a linear transformation with the…

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Q: V is a vector space with bases B = (v1, V2, v3) and B' = (w1, w2, w3). The change of basis matrix 1…

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Q: Let B= {b1,b2} and C= {c,c2} be bases for a vector space V, and suppose b, = -9c, +6c2 and b2 =…

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Q: Find the standard matrix for the linear operator T: R^3 --> R^3 that first rotates a vector…

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Q: Let L be the line that passes through the origin in the direction of u = (1, 1, 1). Find the matrix…

A: Let L be the line that passes through the origin in the direction of u = (1, 1, 1) The matrix for…

Q: b) Let v1 = (1,2,1), V2 = (2,9,0) and vV3 = (3,3,4). Show that S = (V1, V2, V3) is a basis for R³.…

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Q: (7,4) by 210 4. Use matrices to rotate the vector degrees counterclockwise about the origin.

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