Which of these matrices are lower triangular matrices?

Q: TRUE or FALSE: If A, B, C are square matrices such that CA = CB, then A = B. TRUE FALSE

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Q: What are Sub-matrices?

A: A matrix is an arrangement of a real or complex number in rows and columns to form a rectangular…

Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: Prove that diagonal matrices are symmetric matrices.

A: Given: diagonal matrices are symmetric matrices

Q: Find two 3 x 3 matrices A and B such that det(A + B) + det(A) + det(B)

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Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let, A=1abc1bca1cab Performing row operations on it, 1abc1bca1cab…

Q: Is the produ ct elementary. matri ces dalways OF two an swer. elementary ? Sustify your

A: The product of elementary matrices need not be an elementary matrix. Recall that any invertible…

Q: Let A, B be a square matrices that are both row-equivalent to each other. Then AB and B^2 are…

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Q: why is the matrix like that?

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Q: What is the name of the matrix, Sij?

A: Sij is called as similarity matrix.

Q: 1 0 0 6 A 0 1 0 7 0 0 1 1 1 0 0* 0 1 1 0 0 0 0 1 В 1 0 0 4. 0 0 1 5 0 0 0 0 1 0 0 4. 0 0 1 5 0 0 0 0

A: A matrix is in reduced row-echelon form if the following holds: 1) All the leading elements are 1.…

Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: Explain the fact Every rank one matrix is one column times one row.

A: Every rank of a matrix is one column times one row is not accurately correct.

Q: Define the matrix square root?

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Q: Describe all skew symmetric scalar matrices.

A: Skew-symmetric: A matrix can be skew symmetric only if it is square. If the transpose of a matrix is…

Q: Explain the rank of a matrix?

A: The rank of a matrix is defined as the maximum number of linearly independent column vectors in the…

Q: Describe matrices that cannot be added or subtracted.

A: matrices can be added or subtracted when they had the same number of rows and the same number of…

Q: Let A and B be two matrices innRREF , if they are row equivalent then A=B.

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Q: When two m x n matrices are said to be equal? Explain there Applicability?

A: Two mxn matrices are said to be equal if their corresponding elements are equal.

Q: Can you please help with finding an inverse of an elementary matrices?

A: An elementary matrix is a kind of matrices that differ from the identity matrix from a single…

Q: Show that for a square matrix A, AAT is a symmetric matrix.

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Q: Define Similar Matrices.

A: Similar Matrices: Let A and B are two square matrices, then A is said to be similar to B if there…

Q: Explain the mandatory conditions for the addition of two matrices?

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Q: Explain the process of determining a minor in a matrix?

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