Invertible Matrix

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Invertible Matrix
Let A be a $5 × 5$ invertible matrix with row sums $1$. That is $\sum_{j=1}^{5} a_{ij} = 1$ for $1 \leq i\leq 5$. Then, what is the sum of all entries of $A^{-1}$.

asked Aug 8, 2018 in Linear Algebra by pankaj_vir Boss (10.3k points) | 141 views

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2

Nullity of matrix
Nullity of a matrix = Total number columns – Rank of that matrix By how to calculate value of x when nullity is already given(1 in this case)

asked Jan 24 in Linear Algebra by Nandkishor3939 Active (1.2k points) | 116 views

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3

Rank of matrix
The rank of above matrix is 3 then what is that square sub matrix of order 3 whose determinant is not equal to 0.

asked Jan 9, 2017 in Linear Algebra by harshit agarwal (331 points) | 834 views

+2 votes

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4

Matrix Invertibility
Let A be (3×3) real matrix. Suppose 1 & -1 are two of three Eigen values of A and 18 is one of the Eigen values of A2+3A. Then [ A ] A is invertible as well as A2 + 3A is invertible [ B ] A^2+3A is invertible but A is not invertible [ C ] A is invertible but A^2+3A is not invertible [ D ] Both A & A^2+3A are not invertible

asked Nov 8, 2016 in Linear Algebra by vishal8492 Junior (711 points) | 234 views

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5

matrix

asked Oct 14, 2016 in Linear Algebra by Prateek kumar Loyal (8.5k points) | 172 views

+3 votes

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6

MATRIX
Let A be a $3 \times 3$ matrix with integer entries such that $|A| =1$. What is the maximum possible number of entries of A that are even?

asked Jan 19, 2017 in Set Theory & Algebra by Supremo Junior (527 points) | 255 views

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7

matrix

asked Oct 18, 2016 in Mathematical Logic by Prateek kumar Loyal (8.5k points) | 77 views

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Invertible Matrix

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