Comprehension:
Direction: Based on the following information, answer the questions:
Abhi, Badri, and Chintan were given the task of creating a square matrix of order 3.
Below are the matrices created by them. A, B, and C are the matrices created by Abhi, Badri, and Chintan respectively.
Let matrix B = P + Q, where P is a symmetric matrix and Q is a skew  symmetric matrix. What is Q?
Direction: Based on the following information, answer the questions:
Abhi, Badri, and Chintan were given the task of creating a square matrix of order 3.
Below are the matrices created by them. A, B, and C are the matrices created by Abhi, Badri, and Chintan respectively.
What is (A^{T})^{T}
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lf the order of A is 4 × 3, the order of B is 4 × 5 and the order of C is 7 × 3, then the order of (A^{T}B)^{T} C^{T} is
Given that the determinant of the matrix
is 12, the determinant of the matrix
If A is an Involuntary matrix and I is a unit matrix of same order, then (I − A) (I + A) is
The matrix has one Eigenvalue equal to 3. The sum of the other two Eigenvalues is
Consider the following question and decide which of the statements is sufficient to answer the question.
Find the value of n, if
Statements∶
1. AB = A
2.
The transformation matrix for mirroring a point in xy plane about the line y=x is given by
In matrix equation [A]{X} = {R},
One of the eigenvalues of matrix [A] is
65 videos120 docs94 tests

65 videos120 docs94 tests
