Which of the following transformations are linear? A.T(A)=SAS-1 from R2x2 to R2x2, where S = [²814 A from R2x5 to R2x5 -8 OB. T(A) = 91 DC.T(A) = A + 15 from R5x5 to R5x5 OD. T(A) = trace(A) from R6x6 to R E.T(A) = det(A) from R³x3 to R OF.T(A)=5A from R4x3 to R4x3 [a
Which of the following transformations are linear? A.T(A)=SAS-1 from R2x2 to R2x2, where S = [²814 A from R2x5 to R2x5 -8 OB. T(A) = 91 DC.T(A) = A + 15 from R5x5 to R5x5 OD. T(A) = trace(A) from R6x6 to R E.T(A) = det(A) from R³x3 to R OF.T(A)=5A from R4x3 to R4x3 [a
Which of the following transformations are linear? A.T(A)=SAS-1 from R2x2 to R2x2, where S = [²814 A from R2x5 to R2x5 -8 OB. T(A) = 91 DC.T(A) = A + 15 from R5x5 to R5x5 OD. T(A) = trace(A) from R6x6 to R E.T(A) = det(A) from R³x3 to R OF.T(A)=5A from R4x3 to R4x3 [a
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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