MTH212
Question: A square or a rectangular array of numbers written within square brackets in a definite order in rows and columns is known as
Answer: Matrix
Question: Let U and V be vector spaces over a field F. A from U to V is a function T: Uâf V, such that T(u_1 + u_2) = T(u_1) + T(u_2), for u_1,u_2 â~U, and T(î±u) = î±T(u) for î±â~ F and U â~ U.
Answer: Linear transformations
Question: Any element from the set of real numbers is also called a
Answer: Scalar
Question: A diagonal matrix having equal elements is called a
Answer: Identical matrice
Question: If a matrix ~A has ~m number of columns and ~n number of rows then m Ä— n is said to be
Answer: Order of a matrix
Question: Consider the vector space U over a field F, and the function T:UâfU defined by T(u) = u for all u â~ U. This transformation is called the
Answer: Identity transformation
Question: Matrix multiplication is genrally not
Answer: commutative
Question: is the study of certain mappings between two vector spaces.
Answer: Linear transformations
Question: If A(BC) = (AB)C, then with respect to multilpication this law is called
Answer: Associative law
Question: If the transpose of A is -A, then A is said to be
Answer: Skew symmetric
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