Linear Algebra

posted by .

(a) Show that if A is an m x n matrix and A(BA) is defined, then B is an n x m matrix.

(b) Show that if A has a row of zeros and B is any matrix for which AB is defined, then AB also has a row of zeros.

(c) Find a similar result involving a column of zeros.


Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Augmented Matrix

    Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. DO ALL WORK BY HAND. x + 2y + 4z = 6 y + z = 1 x + 3y + 5z =10 If one subtracts the first …
  2. algebra

    When i have a matrix 4 X 4 and i have to multiply it by a 4 X 3 i know that the product size has to be a 4x 3 so do i do a row times column or how ?
  3. Advanced Math

    Find DE if matrix D= Row 1= -2,4,6 and ROW 2= 5,-7,1 and matrix E= Row 1= 1,-2 Row 2= 0,-4, and Row 3= -3,4 WORK: [(-2)(1)+(4)(0)+(6)(-3)]=-20 [(-2)(-2)+(4)(4)+(6)(4)]=44 [(5)(1)+(-7)(0)+(1)(-3)]=2 [(5)(-2)+(-7)(4)+(1)(4)]=-34 The …
  4. Math

    A message was encoded using the matrix [7 2 3 1] and you can decode the message 2 numbers at a time in a [1 x 2] matrix. Here are the first four numbers: 66 21 119 35 I know it's coded row matrix times the decoder = the uncoded row …
  5. Linear Algebra

    a) Show that if A has a row of zeros and B is any matrix for which AB is defined, then AB also has a row of zeros.
  6. Math

    Fine the size of the following matrix and its additive inverse matrix. Identify if it is a square, column, or row matrix: [ 2 -3 7 1 0 4 ]
  7. linear algebra

    1)If A is an invertible matrix and k is a positive integer, then (A^k)^-1 = (A^-1)^k note: ^ stand for power, -1 stand for inverse of A 2)If A is an invertible matrix, then (transpose of A)^-1 =transpose of(A^-1) 3)Prove A^2 = A, then …
  8. science

    1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is called….. …
  9. Math

    Hi! I need help with these two questions. Thanks! :) 1.) Can we multiply the Matrix A (which is 3 x 4 matrix) by the other matrix, Matrix B (which is 3 x 4 matrix)?
  10. Linear Algebra

    Hi, I really need help with these True/False questions: (a) If three vectors in R^3 are orthonormal then they form a basis in R^3. (b) If Q is square orthogonal matrix such that Q^2018 = I then Q^2017 = Q^T. (c) If B is square orthogonal …

More Similar Questions