8- g-10 Let A be a real matrix, It A is skew m xm Symmetric and m is add, then A is nonsingular. True False * There does not exist 3x3 real matrix with the a eigenvalues 入-4,-1,-1 +i False ? Tree lawer triangulas matrices are diagona li 2able A All upper 20 False Trave

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Q: You can use MATLAB to simplify the answer,just screenshot the matlab process

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A: The given question is related with linear algebra. Given that B = 1 + t2 , t + t2 , 1 + 2t + t2 is a…

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A: According to the given matrix A, find an invertible matrix P such that .

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A: (a)   True.       Take B=0-1-10 and C=01-10. Then B and C are distinct nonzero matrices. Now,…

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A: Given that  A is an n×n matrix and c is a scalar. Check whether detcA=cdetA is true or false.

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Q: If A is any square matrix then the matrix -(A - A') is Symmetric matrix. Skew- symmetric matrix.…

A: Option (b) is correct Explanation:- A is square matrix, Then [1/2(A-A')]=1/2(A-A')' 1/2…

Q: Please write clearly and without AI. Thank you

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Q: Eigenvalues of an invertible matrix are nonzero. Justify your answer.

A: answer is yes detailed explanation is given below

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A: A is 4×5 matrix with rank A =3.

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Q: 2) (1) Consider the matrix A = matrix will fail to be invertible? (ii) Consider the matrix B =…

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A: The given statement is false.

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.