What i and j must satisfy if a_ij is on the main diagonal? above the main diagonal? below the main diagonal? Plus, what is a diagonal matrix

Q: A study of people who order out for dinner found that 10% of people who ordered Italian on a…

A: Given, A study of people who order out for dinner found that 10% of people who ordered Italian on a…

Q: 8) Show that the matrix -1 Bz 1-4 4 -3 -2 is idempotent.

A: Given…

Q: A transversal of an nxn matrix is a collection of nn entries where no two are in the same row and no…

A: Given that, A transversal of an n x n matrix is a collection of nn entries where no two are in the…

Q: Which one is not an elementary row operati O A. Interchanging two rows of a matrix

A: An elementary row operation:

Q: 3. Write the list of the seven properties which are equivalent to a matrix being non-singular.

A:

Q: The nth order permutation matrix refers to an n × n matrix in which each column and row has exactly…

A: The series expansion of exponential function is given by ex=1+x1!+x22!+x33!+... This series also…

Q: hat is a matrix

A: Matrix:

Q: a n×(n+5) matrix has rank n, find dim Nul A, dim row A and rank AT. where n is last digit of your…

A: Given that rank A = n

Q: 2. Construct a matrix with the required property or explain why this is impossible (a) Row space…

A: We will use required definition

Q: A square matrix is called a permutation matrix if it contains the entry 11 exactly once in each row…

A:

Q: #16

A: Recall the following facts.

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

Q: 3 Is the matrix a linear combination of the matri- and o o1? Justify your answer. ces

A: A matrix A is said to be expresses as a linear combination of two matrices B and C, if and only if…

Q: whether the matrix is in reduce

A: The matrix is given as  , 190-10001500000100000 1. The condition for row echelon form (ref) is The…

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

Q: Show that if a matrix A is both triangular and unitary, then it is diagonal.

A: Show that if a matrix A is both triangular and unitary, then it is diagonal.

Q: uninfected lightly infected highly infected column sum eaten by birds 1 10 37 48 not eaten by birds…

A: Chi square test for independence is used to test the association between the two variables.

Q: 4- The matrix is : a) null matrix; b) nilpotent matrix ; c) idempotent matrix.

A: Nilpotent Matrix.

Q: 4. Prove that the product of two upper triangular matrices is always another upper triangular…

A:

Q: 8.) If A is an mxn matrix, what are the largest possible value for its rank and the smallest…

A: As per the instruction, we will be answering only the first one. For (8), We have that A is an mxn…

Q: 4. Suppose that a matrix A can be writ

A: Given, a matrix A can be written as the matrix product A=BC as follows:…

Q: What is a magic matrix?

A: The magic matrix is: A square matrix, whose order is odd i.e 3x3, 5x5, and so on. the sum of the…

Q: Show that any matrix of size 3 by 3, can be written as the sum of two invertible matrices, that is,…

A:

Q: a() – 4 (6) - (1) - (-) - Find a 2 x 2 matrix A such that A

A: We have to find a 2 × 2 matrix A such that A12=A23=41 Let the matrix A = abcd

Q: Explain why the row vectors of a 8 × 7 matrix form a linearly dependent set. (Assume all matrix…

A: Consider the given information. The given matrix in the form of 8 *7 matrix, forms a linearly…

Q: 1. Verify whether the two given matrices are similar. To justify yo perform suitable calculations or…

A: Note: Since you have asked multiple questions, but as per Bartleby guidelines we will solve the…

Q: Which matrix is not similar to

A: Given that Matrix- X= 011112-12114, A=21-121011114,B=01111411-122, C=0-111-12121-14, D=100030003,…

Q: Suppose the trace of a matrix is equal to 10. If this matrix is also an identity matrix, how many…

A: Given: The trace of a matrix is equal to 10 and the matrix is an identity matrix.   To determine:…

Q: 2 0 is an elemanter matrix. 1 Choose one: True False

A:

Q: (1) Find A = LU, where L is a unit lower trian gular matrix and U is an upper triangular matri: (by…

A:

Q: The Hilbert matrix is a classic example of a badly conditioned matrix: Small changes in their…

A: Consider the given information, A=1121314121314151314151614151617, B=1000 Further simplify the given…

Q: Prove that a 2×2 matrix transforms any straight line into a second straight line and points on the…

A: Let the 2×2 matrix be A=a11a12a21a22 which is the matrix of a linear transformation T:ℝ2→ℝ2. Let the…

Q: 11. Construct a matrix with the required property or explain why this is impossible. (a) (.-) Row…

A: See the detailed solution below.

Q: 6. Suppose a matrix A is full rank. Explain how we know that A* A will have a unique Cholesky…

A:

Q: What is a banded matrix and what are the types of these matrices?

A: See the attachment

Q: If matrix A (mxn) has full rank, and I multiply it by its conjugate transpose A*. In other words,…

A: We will give a counter example that will prove this statement wrong.

Q: # Show that diagonally dominated matrices are always invertible. Now, what is a diagonally dominated…

A:

Q: Compute the product. This exercise should be done two ways: by hand and by using technology where…

A: Given that 4-1-31734033

Q: Let A be annxn matrix and B=A+I, where I is the identity matrix, then it is possible for A and B to…

A:

Q: A matrix in which there is only one row and any number of columns is said to * .be matrix

A: Given:     Expression is ^-*33*425       In the prefix form of an expression, a binary operator…

Q: Construct a matrix with the required property or explain why this is impossible (a) Row space…

A: Given row space is, 4,7,5 and 2,3,-5 And the null space is, 2,1,3

Q: 3) Develop matrix form of the quadratic spline polynorhials for these data po: (1, 1), (2, 3), (3,…

A: Given: 1,1,2,3,3,5,4,2 n=4

Q: 4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: 4- Determine the rank of the fcllov-ing matrices [1 2 8] 7 6 ii- A=|1 2 3 5 3. 13 4 3? i- A = |4…

A: for a 3*3 matrix if determinant is not equal to zero then rank is 3  if it is zero then we calculate…

Q: 4. Describe all matrices row equivalent to the matrix: [B]

A: Since you have posted a multiple question according to guildlines I will solve first(Q4)   question…

Q: A and B are two sequar upper triangular matrix then ove that the JAB| is equal the product of its…

A: Topic:- matrix algebra

Q: In statistical theory, a common requirement is that a matrix be of full rank. That is, the rank…

A:

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.