AP EAPCET (Engineering) Matrices — practice questions
90 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP EAPCET (Engineering) Matrices in the app →A matrix has $3$ rows and $4$ columns. Its order is:The identity matrix $I_n$ of order $n$ is:For any matrix $A$, the property $(A^T)^T$ equals:The determinant of the $2 \times 2$ matrix $\begin{pmatrix} a & b \\ c & d \end{pmatrix}$ is:A square matrix $A$ has an inverse $A^{-1}$ if and only if:A matrix with all elements zero is called:For a 3x3 identity matrix I, det(I) equals:Number of rows in matrix A times number of columns in A x B should equal:The transpose of a 2x3 matrix is a:A square matrix A is symmetric if:The element a_23 of a matrix is located at:If A = [[1,2],[3,4]], find det(A):For A = [[2,0],[0,3]] (diagonal matrix), A² equals:If A is a 3×3 matrix with det(A) = 2, then det(2A):The inverse of a 2x2 matrix [[a,b],[c,d]] is (when det ≠ 0):If A·B = I (identity) and A·C = I, then B equals:For an n × n matrix A, A is invertible if and only if:If A = [[1,2],[3,4]] and B = [[5,6],[7,8]], find A + B:If A is 3×4 and B is 4×2, dimensions of AB:If A is 3×3 and det(A) = 5, then det(A⁻¹) equals:If A is a 3×3 matrix and det(A) = 4, then det(adj A):If A is symmetric and B is skew-symmetric (both n × n), then A + B:For 2x2 matrix A with characteristic equation λ² - 5λ + 6 = 0, the eigenvalues are:By the Cayley-Hamilton theorem, every square matrix satisfies its own:For a 3x3 matrix A, A·(adj A) equals:Rank of the zero matrix:For an orthogonal matrix Q, Q·Qᵀ equals:If A is invertible n × n matrix and B is any n × n matrix, then det(A⁻¹BA):Determinant of [[1,2,3],[4,5,6],[7,8,9]]:Trace of a matrix A is the sum of its:Inverse of [[2,0],[0,3]]:For a 2x2 matrix A with det A = 0, the system Ax = 0 has:For a 3x3 matrix A: (A + Aᵀ) is always:If A = [[1,1],[1,1]], the determinant and rank:A matrix is best described as which kind of arrangement of numbers?How many entries does a matrix of order 4 × 5 contain?In the notation aij, the subscript j tells the element's:A matrix of order 1 × n is known as a:An m × n matrix is a square matrix when:Another name for a matrix whose elements are all zero is:In a diagonal matrix, each element with i not equal to j is:Which square matrix has 1 on the main diagonal and 0 everywhere else?Two matrices of the same order are equal only if they also have:If [[x, 3], [2, y]] = [[5, 3], [2, 7]], then x + y equals:If [[2x + 1, 4], [0, 3]] = [[9, 4], [0, 3]], the value of x is:A 2 × 3 matrix and a 3 × 2 matrix share the same six entries. They are:The second row of [[1, 2], [3, 4]] + [[5, 6], [7, 8]] is:A zero matrix O of the same order satisfies A + O = A, so O is the additive:By the commutative law of addition, A + B always equals:If A = [[1, -2], [3, 0]], then 3A has first row:For A = [[2, 4], [6, 8]], the matrix (1/2)A is:For scalars k and l, the matrix (k + l)A equals:The rule k(A + B) = kA + kB holds when A and B have:The product AB exists only if the number of columns of A equals:If A is 2 × 3 and B is 3 × 4, the order of AB is:For A = [[1, 2], [3, 4]] and B = [[0, 1], [1, 0]], the product AB is:A row matrix [1 2 3] multiplied by the column with entries 4, 5, 6 gives:If the product AB is a zero matrix, then:The equation (AB)C = A(BC) states which law of multiplication?The identity A(B + C) = AB + AC is called the:For a square matrix A of order n, the product IA with identity I equals:If A = [[2, 0], [0, 3]], then A squared equals:The first row of [[2, 1], [1, 0]] times [[1, 2], [3, 4]] is:If A has order 3 × 5, its transpose has order:Transposing a matrix twice, (A')', gives:For a constant k, the transpose (kA)' equals:Which of these matrices is symmetric?For A = [[1, 2], [4, 3]], the matrix (A + A')/2 has off-diagonal entry:Any square matrix can be written as the sum of a symmetric matrix and a:A real matrix that is both symmetric and skew symmetric must be the:If B is the inverse of a square matrix A, then:A square matrix that possesses an inverse is called:For invertible matrices A and B of the same order, (AB) inverse equals:The inverse of the matrix [[2, 0], [0, 4]] is:If B is the inverse of A, then the inverse of B is:A matrix has 12 elements. Which order is impossible for it?How many different orders are possible for a matrix with 6 elements?In a 3 × 3 matrix with aij = i + j, the element a23 equals:A 2 × 2 matrix has aij = 2i - j. Its first row is:For the 2 × 2 matrix with aij = i × j, the sum of all elements is:A 3 × 3 diagonal matrix has all diagonal entries nonzero. How many zero entries does it have?A 4 × 4 scalar matrix has k = 5. The sum of all its elements is:For A = [[1, 2], [3, 4]], the diagonal entries of A - 2I add up to:For A = [[2, -1], [1, 0]], the expression A squared - 2A + I equals:For A of order m × n and B of order k × l, both AB and BA exist iff:In a product AB, the number of rows in the result equals the rows of:For a non-singular square matrix A, the product A(adj A) equals which matrix?In the inverse of the matrix with rows (3, 2) and (4, 3), what is the entry in row 1, column 2?For what value of k is the matrix with rows (k, 6) and (2, 4) singular?For the matrix with rows (1, 2) and (3, 4), A(adj A) equals which matrix?