Matrices and Determinants Practice MCQs Mathematics, Exercises of Mathematics

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Matrices and Determinants Practice MCQs

10. Il. 12. Matrices and Determinants Practice MCQs The order of the matrix [1 2 3] is (a) 1x1 (b) 3x3 (c) 3x1 (d) 1x3 A matrix in which the number of rows is not equal to the number of columns is called a (a) diagonal matrix (b) rectangular matrix (c) square matrix (d) scalar matrix A matrix with a single row is called a (a) column matrix (b) row matrix (c) null matrix (d) identity matrix A square matrix all of whose elements except the main diagonal are zeros is called a (a) null matrix (b) singular matrix (c) symmetric matrix (d) diagonal matrix Let A=[a,,] be a square matrix of order n. If a,, = 0 for alli # jand a, =1 foralli = j, then A is (a) scalar matrix (b) identity matrix (c) null matrix (d) symmetric matrix A square matrix A for which A' = 4 is called a (a) column matrix (b) symmetric matrix (c) row matrix (d) skew-symmetric matrix 3 A square matrix A with complex entries for which (4)' =—A is called (a) symmetric matrix —_(b) identity matrix (c) hermitian matrix — (d) skew-hermitian matrix If order of A is mxn and order of B is nx p then order of AB is (a) mxm (b) nxn (c) mx p (d) pxm 1 If A=) 2) then order of 4’ is 3 (a) 1x3 (b) 3x3 (c) 3x1 (d) 1x1 The transpose of a rectangular matrix is a (a) square matrix (b) rectangular matrix (c) row matrix (d) column matrix If Ais any matrix then its additive inverse is (aA (b) A" (0) a’ (a) -A . 133 -. . .. 0 5 6/isa 007 (a) diagonal matrix (b) scalar matrix (c) triangular matrix — (d) identity matrix