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```Question: Given that U and V are vector spaces over a field F LetT  Urightarrow V be a linear transformation then the set xin UTx  0 is called the

Question: beginbmatrix0 13 12535 4endbmatrix is a  matrix

Question: The dimension of the matrix beginbmatrix12532810 5 210endbmatrix is

Question: A square matrix whose tranpose is equal to the negative of the matrix itself is known as

Question: A one one and onto linear transformation is

Question: The determinant of beginbmatrixx21x52x3x4endbmatrix is

Question: The transpose ofbeginbmatrix1 1542637 2endbmatrix is a  matrix

Question: The order of the matrix beginbmatrix125ba3281C0 5 2 510abcdendbmatrix is

Question: The determinant of beginbmatrix143 12756 2endbmatrix is

Question: The size of the matrix beginbmatrix12281 510endbmatrix is

Question: A matrix whose determinant is zero is called

Question: The dimension of the kernel of T is the same as the  of T

Question: The determinant of beginbmatrix231000459endbmatrix is

Question: For any linear transformation T  Urightarrow V  let the dimension of U be finite then Ker T has a  dimension

Question: Every vector space is isomorphic to its dual

Question: Let T in AV  then T is invertible if and only if the constant term in the minimal polynomial of T is

Question: The  of a row reduced echelon matrix is equal to the number of its non zero rows

Question: Every matrix can be reduced to a row reduced echelon matrix by a  of elementary row operations

Question: The determinant rank of an m x n matrix A is equal to the  of A

Question: The determinant of beginbmatrix2x x 12x3x1 12endbmatrix is

Question: Let  T  Urightarrow V be a linear transformation then rank T  nullity T

Question: What is the determinant rank of the determinant ofbeginbmatrix142536endbmatrix

Question: One of the following is not a property of determinants

Answer:B: If two rows or columns are interchanged the determinant is zero

Question: The determinant of beginbmatrix1 2 15x2x3 x2endbmatrix is

Question: Let L R3rightarrow R be the map given by Lxyz  x  y  z What is nullity L

Question: T is called  if for each v in V there exist u in U such that Tu  v

Question: If U be a vector space over FThen the space LUF is called the  of U

Question: The  of  T is defined to be the dimension of  Kernel of T

Question: Every vector space is isomorphic to its  dual

Question: A matrix with only  row is called a row matrix or row vector

Question: If X and Y are matrices and XYYXI Then X is said to be

Question: The  of a matrix is equal to the number of pivots in an echelon form of A

Question: The dimension of R of T is called  of T

Question: A matrix that does not have inverse is called aan  matrix

Question: Suppose A m by nmatrix the m horizontal list of scalars are called

Question: A rectangular array of scalars within square brackets is square is called

Question: If X and Y are matrices and XY YX  I Y is said to be the  of A

Question: A square matrix A is said to be invertible if there exists a matrix B such that

Question: A matrix obtained by subjecting  Ito an elementary row or column operation is called aan

Question: The matrix 0 is called

Question: The number appearing in the various positions of a matrix are called the  of the matrix

Question: The pair of numbers and is called the   of the matrix

Question: An  matrix is said to be of order n

Question: A  is a matrix with the same number of rows and columns

Question: A matrix with only one column is called a  vector

Question: A and B are two matrices and ABBA Then A and Bare said to be