Skills and Applications
Decoding a Message The cryptogram below was encoded with a
The last word of the message is
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- CAPSTONE The dimension of the row space of a 35 matrix A is 2. a What is the dimension of the column space of A? b What is the rank of A? c What is the nullity of A? d What is the dimension of the solution space of the homogeneous system Ax=0?arrow_forwardDimension of a Matrix State the dimension of the matrix. [147]arrow_forwardDecoding a Message A code breaker intercepted the encoded message below. 45353830181835308160422875552222211510 Let the inverse of the encoding matrix be A1=[wxyz] You know that [4535]A1=[1015] and [3830]A1=[814]. Write and solve the two systems of equations to find w,x,y, and z. Decode the message.arrow_forward
- Digital Images A four-level gray scale is shown below. aUse the gray scale to find a 66 matrix that digitally represents the image in the figure. bFind a matrix that represents a darker version of the image in the figure. cThe negative of an image is obtained by reversing light and dark, as in the negative of a photograph. Find the matrix that represents the negative of the image in the figure. How do you change the elements of the matrix to create the negative? dIncrease the contrast of the image by changing each 1 to a 0 and each 2 to a 3 in the matrix you found in part a. Draw the image represented by the resulting matrix. Does this clarify the image? eDraw the image represented by the matrix I. Can you recognize what this is? If you dont, try increasing the contrast. I=[123320030101132300030101133230010101]arrow_forward(a) The matrix I=[1001] is called an _____ matrix. (b) If A is a 22 matrix, then AI= _____ and IA= _____. (c) If A and B are 22 matrices with AB=I , then B is the _____ of A.arrow_forward
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