TS EAPCET (Engineering) Matrices — practice questions
88 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS 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:If A is skew symmetric and a12 = 7, then a21 equals: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:The difference A - B of two matrices is defined as: