On using elementary row operation R1 arrow R1 -3R2 in the following matrix equation: [4&2 3&3]=[1&2 0&3][2&0 1&1], we have

Question

On using elementary row operation R1 arrow R1 -3R2 in the following matrix equation: [4&2 3&3]=[1&2 0&3][2&0 1&1], we have (A) [-5&-7 3&3]=[1&-7 0&3][2&0 1&1] (B) [-5&-7 3&3]=[1&2 0&3][-1&-3 1&1] (C) [-5&-7 3&3]=[1&2 1&-7][2&0 1&1] (D) [4&2 -5&-7]=[1&2 -3&-3][2&0 1&1]

Tardigrade Admin · Accepted Answer

[4&2 3&3]=[1&2 0&3][2&0 1&1] Applying R1arrow R1- 3R2, we get [-5&-7 3&3]=[1&-7 0&3][2&0 1&1]

Q. On using elementary row operation $R_{1} \to R_{1} - 3 R_{2}$ in the following matrix equation: $[4323] = [1023] [2101],$ we have

$[- 5 3 - 7 3] = [10 - 7 3] [2101]$

$[- 5 3 - 7 3] = [1023] [- 1 1 - 3 1]$

$[- 5 3 - 7 3] = [11 2 - 7] [2101]$

$[4 - 5 2 - 7] = [1 - 3 2 - 3] [2101]$

$[4323] = [1023] [2101]$

Applying $R_{1} \to R_{1} - 3 R_{2}$ , we get

$[- 5 3 - 7 3] = [10 - 7 3] [2101]$

Q. On using elementary row operation R1​→R1​−3R2​ in the following matrix equation: [43​23​]=[10​23​][21​01​], we have

[−53​−73​]=[10​−73​][21​01​]

[−53​−73​]=[10​23​][−11​−31​]

[−53​−73​]=[11​2−7​][21​01​]

[4−5​2−7​]=[1−3​2−3​][21​01​]