In Exercises 25-28, use the matrix capabilities of a...

In Exercises 25-28, use the matrix capabilities of a graphing utility to evaluate the expression. Round your results to three decimal places, if necessary. $-\left[\begin{array}{r} 3.211 & 6.829 \\ -1.004 & 4.914 \\ 0.055 & -3.889 \end{array}\right] - \left[\begin{array}{r} -1.630 & -3.090 \\ 5.256 & 8.335 \\ -9.768 & 4.251 \end{array}\right]$

In Exercises 25-28, use the matrix capabilities of a graphing utility to evaluate the expression. Round your results to three decimal places, if necessary.

$-\left[\begin{array}{r} 3.211 & 6.829 \\ -1.004 & 4.914 \\ 0.055 & -3.889 \end{array}\right] - \left[\begin{array}{r} -1.630 & -3.090 \\ 5.256 & 8.335 \\ -9.768 & 4.251 \end{array}\right]$

Transcript

00:01 Now over here, the expression that we need to simplify is minus.

00:06 See, i can see there is a matrix that is having a negative sign in front of it.

00:11 The matrix is having the elements 3 .211, 6 .829, then minus 1 .004, then 4 .914, then 0 .055, and minus 3 .004, then 0 .055, and minus 3 .0.

00:30 8 8 9 okay this is one matrix and the second matrix is okay so that means we are going to subtract two matrices over here okay so whenever we subtract two mattresses we all know that the order of the two mattresses should be same so i can see over here that both the matrices are of the order 3 by 2 so yeah it is possible that we can simplify here itself right so right now i'm just copying the two mattresses from the question and 8 .335 and the third row is having the element minus 1 .768 and 4 .251.

01:10 Okay.

01:11 Now, how i'm going to do this is simply whenever we are supposed to subtract two mattresses, we just take up the corresponding elements and subtract it.

01:20 Like, what i do mean by the terms corresponding, if i'm just taking up the element of the first row and the first column of the first matrix, then i just take up the same element, the element of the first one of the first column from the second mattress also now the first matrix is having the negative sign in front of it so that means minus 3 .211 minus minus so plus so plus 1 .630 like this again second one will be minus 6 .829 again minus minus minus negative negative turns into positive plus 3 .090 right over here it will be 1 .6 .9.

02:00 Over here it will be 1.

02:00 1 .004 minus 5 .256 and minus 4 .914 minus 8 .335.

02:14 As you can observe, i'm just taking up the corresponding elements as i said...

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