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Invertible Matrix
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Let $A$ be a nilpotent matrix. Show that $I + A$ is invertible.
engineeringmathematics
linearalgebra
matrices
matrix
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Aug 8, 2018
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Linear Algebra
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pankaj_vir
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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 $A^{1}$.
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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)
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Rank of matrix
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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
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by
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Oct 14, 2016
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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
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(
527
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244
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Oct 18, 2016
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