If A is an n × n matrix, what are the entries on the main diagonal of A − AT ? Justify your answer.

Q: Find the matrix of the quadratic form. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: You are given the following matrices: P = (-3 9/-3 -7), Q = (-2 1/3 3) Find out the value of c…

A: To find out the value of c.

Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: The product of a 5 ´ 3 matrix and a 3 ´ 5 matrix is

A: When we do matrix multiplication: The number of columns of the 1st matrix must equal the number of…

Q: Q10.5 If A is a 2x8 matrix and if B is mxn , figure out the value of m if BTAT is a 20x2 matrix.

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Q: The product of a 2 ´ 3 matrix and a 3 ´ 2 matrix is

A: When we do multiplication: The number of columns of the 1st matrix must equal the number of rows…

Q: State the next elementary row operation that should be performed in order to put the matrix into…

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Q: If A and B are square matrices of the same size, is (A + B)2 = A2 + 2AB + B2?

A: In matrices, the commutative properties are not valid. That is order of the matrices multiplication…

Q: 4 x x -4 3.) Solve for x: %3D 2 7 6. X -2

A: Explanation of the answer is as follows

Q: egrees of freedom for a 4 * 3 matrix are 12 True or False

A: Given that   4 * 3 matrix   Number of rows (r)  = 4 Number of column (c) = 3   We know that  Degrees…

Q: What is the solution

A: Consider the provided question, (a) The polynomial of degree 2 will be written of the form,

Q: If Matrix A {(a b c), (x y z), (l m n)} = 4, what is the value of matrix B {(a b c), (2a 2b 2c), (l…

A: If two rows of a matrix becomes identical then determinant of that matrix is zero.

Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

A: