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adjoint of a matrix
adjoint of basic matrices
Date of upload
Jul 23, 2019 12:00:00 AM
A squar matrix aij=aji for all i and j then it is called:
The constraint A^2 = A on any square matrix A is satisfied for -GATE-Aerospace Engineering-Question-2012
Which of the following statements are TRUE ? GATE- Chemical Engineering- 2013
If Q = ( 3 2 4 2 0 2 4 2 3 ) and P = (v1 v2 v3) is the matrix where v1, v2 and v3 are linearly independent eigenvectors of the matrix Q, then the sum of the absolute values of all the elements of the matrix P −1QP is
If A is square matrix, then what is adj(A.¹) - (adj A).¹ equal to?
If A is a square matrix, then the value of adj Aᵀ - (adj A)ᵀ is equal to
Fill in the blanks. GATE- Civil Engineering- 2013
Which one of the following statements is NOT CORRECT? -gate Geology & Geophysics 2017
Which one of the following statements is TRUE about every n × n matrix with only real eigenvalues? - Gate Computer Science 2014
Let A be a square matrix size n × n. Consider the following pseudocode. What is the expected output? (-Gate Computer Science 2014)
Reduce the matrix
The determinant of an odd order skew symmetric matrix is always:
Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of the matrix A19 are -gate-cse-2012
L et 𝑁 be a 3 by 3 matrix with real number entries. The matrix 𝑁 is such that 𝑁2 = 0. The eigen values of N are
Let A be the 2 x 2 matrix with elements a11 = a12 = a21= + 1 and a22 =-1. Then the eigen values of the matrix A19 are -gate-computer science-2012
Let |ψ1 〉 = ( 1 0 ), |ψ2 〉 = ( 0 1 ) represent two possible states of a two-level quantum system. The state obtained by the incoherent superposition of |ψ1 〉 and |ψ2 〉 is given by a density matrix that is defined as ρ ≡ c1 |ψ1 〉〈ψ1| + c2 |ψ2 〉〈ψ2|. If c1 = 0.4 and c2 = 0.6, the matrix element ρ22 (rounded off to one decimal place) is _________
Consider the matrix A = I9 − 2u T u with u = 1 3 [1, 1, 1, 1, 1, 1, 1, 1, 1], where I9 is the 9 × 9 identity matrix and u T is the transpose of u. If λ and μ are two distinct eigenvalues of A, then |λ − μ| = (Gate 2018 engineering mathematics)
The determinant of the matrix- gate biotech 2015
Assume that multiplying a matrix G1 of dimension p × q with another matrix G2 of dimension q × r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3...Gn can be done by parenthesizing in different ways. Define Gi Gi+1 as an explicitly computed pair for a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6 using parenthesization (G1(G2G3))(G4(G5G6)), G2G3 and G5G6 are the only explicitly computed pairs.
What are the eigenvalues of the following matrix?-gate biotech 2015
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adjoint of a matrix