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Co-factors
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleting the fir..
The co-factor of the element a ij is (-1) i+j times its minor a ij . We shall denote the cofactor of an element by the corresponding capital letter. Cofactor of a i j = A i j = (-1) i + j M i j Consider the determinant The minor of a 1 1 can be obtained by deleting the fir..Summary
. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i ..
. If A =[a i j ] m x n is a matrix of order mxn. The minor of a i j of |A|, denoted by M i j , is given by the determinant which is obtained by deleting i t h row j t h column of |A|. The co-factor of the determinant of the A = [a i j ] m x n , denoted by A i j is given by A i j = (-1) i ..Summary
The fundamental principle of counting (F.P.C) states that if an operation can be performed in m different ways and if for each such choice, another operation can be performed in n different ways, then both operations, in succession can be performed in exactly mn different ways. The principle can ..
The shaded region is the image of rhombus ABCD after dilation with res..
The shaded region is the image of rhombus ABCD after dilation with respect to point A and scale factor 1 4 . If AB = 16 inches, then find the length of A'B'. => 4 inches or 5 inches or 6 inches or 3 inches..
Find the image of M (- 5, 20) under dilation with center as origin and..
Find the image of M (- 5, 20) under dilation with center as origin and with a scale factor of 4 5 . => (- 6, 25) or (4 , - 16) or (6, - 25) or (- 4, 16)..
The length of a rectangle PQRS is 15 m. Find the measure of the dila..
The length of a rectangle PQRS is 15 m. Find the measure of the dilation image for a scale factor of 4 5 . => 12 m or 15 m or 7 m or 18.75 m..
What is the scale factor when Q is dilated to Pwith center O?
What is the scale factor when Q is dilated to P with center O ? => 1 4 or 3 or 4 or 1 3..
What is the base and height of the resulting rectangle, if the rectang..
What is the base and height of the resulting rectangle, if the rectangle is dilated by a scale factor of 3 4 ? => 11.25 in. and 4.5 in. or 10.35 in. and 5 in. or 12.5 in. and 5 in. or 12.50 in. and 4 in...
Find the new coordinates of the image of the pentagon PQRST after dila..
Find the new coordinates of the image of the pentagon PQRST after dilation with center at origin and a scale factor of 1 2 . => (-1, 5/2), (1/2, 1), (1/2, 1/2), (-5/2, -1/2), (1, -5/2) or (-1, 5/2), (1/2, 1), (1/2, -1/2), (-5/2, -1/2), (-5/2, 1) or (5/2, -1), (1/2, 1), (-1/2, 1/..
Find the scale factor for the dilation.
Find the scale factor for the dilation. => 2.5 or 6.5 or 3 or 2..
Result
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