2. Matrices.rtf.pdf

2. Matrices 1) Two matrices P and Q are added if A) number of columns of P is equal to number of columns of Q B) both have same order C) both have same ranks D) number of rows of P is equal to number of rows of Q 2) 3) 4) 5) What is the symbol ~...

2. Matrices 1) Two matrices P and Q are added if A) number of columns of P is equal to number of columns of Q B) both have same order C) both have same ranks D) number of rows of P is equal to number of rows of Q 2) 3) 4) 5) What is the symbol ~ in matrices read as. A) Similar B) Equivalent C) Equal to D) raise to 6) 7) A) F(-α) B) F(α ¯¹) C) F(2 α) D) None of these 8) A) 1 B) A C) A’ D) -1 9) The inverse of a symmetric matrix is – A) Symmetric B) Non-symmetric C) Null matrix D) Diagonal matrix Page 1 of 5 10) A) 20 B) 10 C) 30 D) 40 11) How can we find the Inverse of matrix A using Adjoint method? 12) 13) What is transpose of Column Matrix? A) Diagonal Matrix B) Zero matrix C) Row matrix D) Triangular matrix. 14) The Inverse of diagonal matrix is A) Diagonal Matrix B) Rectangular Matrix C) Inverse Matrix D) Transpose Matrix 15) For solving a system of linear equations, the given equations are reduced to a certain form to get the solution this method is known as? A) Method of Inversion B) Method of reduction C) Method of factorization D) Method of polynomial. 16) What is the inverse of symmetric matrix if it exists. A) Symmetric matrix B) Non Symmetric matrix C) Skew-symmetric matrix D) Null matrix 17) If A and B are two square matrices of the same order such that AB = BA = I, then A and B are inverse of each other. A) False B) True C) Can’t say D) all of the above 18) If a matrix A = AT then the matrix is said to be? A) symmetric matrix B) skew symmetric matrix C) Identity matrix D) Scalar matrix 19) A) 1 B) -1 C) 0 D) -3 Page 2 of 5 20) 21) A) 2 B) -2 C) 10 D) -10 22) 23) A matrix having i rows and j columns with i ≠ j is said to be a A) Rectangular matrix B) Symmetric matrix C) Scalar matrix D) Identity Matrix 24) Two matrices P and Q are multiplied to get QP if A) both have same order B) both have same ranks. C) Number of columns of P is equal to number of columns of Q D) Number of rows of P is equal to number of columns of Q 25) What type of law is (A + B)C = AC + BC? A) Identity law B) Commutative law C) Associative law D) Distributive law 26) (MN)O = M(NO), this law is known as ? A) additive law B) Cramer’s law C) Associative law D) Inverse law 27) 28) 29) A) 25 B) 20 C) 30 D) 35 30) Inverse of matrix exist if and only if the given matrix is. A) Nonsingular matrix B) Identity matrix C) Singular matrix D) Triangular matrix 31) What is number of non-zero rows in an echlon form is called as? Page 3 of 5  A) Inverse of matrix B) Conjugate of matrix C) reduced echlon form D) rank of the matrix 32) A) 2 B) 4 C) 0 D) 6 33) A) Identity Matrix B) Upper triangular matrix C) Lower triangular matrix D) Inverse Matrix 34) If |A| = 0, then A is which type of matrix? A) Zero matrix B) Identity matrix C) Singular matrix D) Non Singular matrix 35) A) Inverse Matrix B) Adjoint Matrix C) Identity Matrix D) Compound Matrix 36) A) -5 B) 10 C) 15 D) -12 37) If P and Q matrices are of same order and Q + P = P + Q, this law is known as ? A) Cramer’s law B) Distributive law C) Commutative law D) Associative law 38) We can add two matrices if and only if? A) order is same B) columns are same C) rows are same D) rank is same 39) If a matrix has equal number of columns and rows then it is said to be a. A) Identity matrix B) Rectangular matrix C) Symmetric matrix D) Square matrix. 40) A) odd matrix B) even matrix C) symmetric matrix D) scalar matrix 41) Page 4 of 5 42) A) a = -2, b = 1 B) a = 2, b = 4 C) a = 2, b = -1 D) a = 1, b = -2 43) 44) A square or a rectangular array of numbers written within square brackets in a definite order in rows and columns is known as A) Equation B) Determinant C) Expression D) Matrix 45) 46) A matrix is said to be null matrix when it contains A) all elements as 0 B) all elements of row are equal to all elements of columns. C) All elements as 1 D) identical values. 47) Equations are said to be homogeneous equations when it has A) Real solutions B) Common Solutions C) Complex solutions D) No solutions -------- All the Best -------- Page 5 of 5