True or False 1. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2 columns. The product size of AB is a 4 x 2 matrix. 2. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a row/column by a non-zero constant and adding the result to the corresponding entries in another row/column. Then, det(B) = det(A).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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True or False

1. Suppose Matrix A is having 4 rows and 3 columns, and Matrix B is having 3 rows and 2
columns. The product size of AB is a 4 x 2 matrix.
2. Suppose B is the matrix obtained from an n x n matrix A by multiplying the entries in a
row/column by a non-zero constant and adding the result to the corresponding entries in
another row/column. Then, det(B) = det(A).

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