The property you are referring to is the multiplicative identity property. This property states that any number multiplied by 1 will result in the original number. In this case, 1 multiplied by n will always equal n, no matter the value of n. This property is fundamental in multiplication and plays a crucial role in various mathematical operations.
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The Identity Property of Multiplication states that when a given number is multiplied by 1, the result equals the given number. Thus, 1 is the multiplicative identity.a x 1= a
A = coefficient matrix (n x n) B = constant matrix (n x 1)
x^a is x time itself a number of timesx^0=1 any number raised to the zero power equals 1x^n times x^m = x^(n+m)x^n divided by x^m = x^(n-m)x^(1/n) is the n-th root of xx^(-1) is 1/x(mathematics) Any of the laws aman am+n, am/an am-n, (am)n amn, (ab)n anbn, (a/b)n = an/bn; these laws are valid when m and n are any integers, or when a and b are positive and m and n are any real numbers. Also known as exponential law.
multiplication is point to point and convolustion is point to multi-point ex multiplication-- s[n]=x[n].h[n] s[0]=[x[0].h[0] s[1]=[x[1].h[1] s[2]=[x[2].h[2] . . . .. s[n-1]=[x[n-1].h[n-1] convollustion s[n]=x[n]*h[n] s[0]=[x[0].h[0]+x[0].h[1]+x[0].h[2]+.......+x[0].h[n-1] s[1]=[x[1].h[0]+x[1].h[1]+x[1].h[2]+.......+x[1].h[n-1] s[2]=[x[2].h[2]+x[2].h[1]+x[2].h[2]+.......+x[2].h[n-1] . . . s[n-1]=[x[n-1].h[0]+x[n-1].h[1]+x[n-1].h[2]+.......+x[n-1].h[n-1].